VOLUME 102 NUMBER 4 APRIL 1988

WHOLE NUMBER 346

ProceedingsJL OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BY

William AdamsJ. Marshall AshThomas H. BrylawskiDennis BurkeFrederick R. CohenJohn B. ConwayWilliam J. Davis, Managing EditorThomas J. JechBarbara L. KeyfitzIrwin KraR. Daniel MauldinKenneth R. MeyerPaul S. MuhlyAndrew OdlyzkoGeorge C. PapanicolaouDonald PassmanLouis J. Ratliff, Jr.Jonathan M. Rosenberg

William D. SudderthJames E. WestWarren J. Wong

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

Proceedings of the American Mathematical Society

This journal is devoted entirely to research in pure and applied mathematics.

Editorial Policy

To be published in the Proceedings, a paper must be correct, new, nontrivialand significant. Further, it must be well written and of interest to a substantialnumber of mathematicians. Piecemeal results, such as an inconclusive steptoward an unproved major theorem or a minor variation on a known result,are in general not acceptable for publication. Proceedings Editors shall solicit,and encourage publication of, worthy papers of length not exceeding 15 typed

pages.Very short notes not to exceed two printed pages are also accepted, and

appear under the heading Shorter notes. Items deemed suitable include anelegant new proof of an important and well-known theorem, an ¿Illuminatingexample or counterexample, or a new viewpoint on familiar results. New results,if of a brief and striking character, might also be acceptable, though in generala paper which is merely very short will not be suitable for the Shorter notes

department.

On January 23, 1979, the Council of the American Mathematical Societyabolished blind refereeing as a policy for the Proceedings, but decided that anyauthor who so requests and who provides a blind copy of a manuscript will havethe manuscript refereed blind.

Two copies of a manuscript should be submitted. If blind refereeing isintended, one should be complete and one blind, and then the latter will be sentto the referee without disclosure of the author's name or institution.

SUBSCRIPTION INFORMATION. PROCEEDINGS OF THE AMERICAN MATHEMATI-CAL SOCIETY is published monthly. Subscription prices for Volumes 102-104 (1988) are $401list; $321 institutional member; $241 individual member. A late charge of 10% of the subscription

price will be imposed upon orders received from nonmembers after January 1 of the subscription

year. Subscribers outside the United States and India must pay a postage surcharge of $25: sub-scribers in India must pay a postage surcharge of $38. Expedited delivery to destinations in NorthAmerica—$30; elsewhere—$40. Combination paper and microfiche subscription prices are $533list; $426 institutional member. Microfiche of each issue will be mailed the fastest way possiblebefore the camera copy is sent to the printer. Microfilm subscriptions may be purchased fromUniversity Microfilms International, 300 North Zeeb Road, Ann Arbor, Michigan 48106.

BACK NUMBER INFORMATION. Back number prices per volume are for Volumes 1-89,$113 list, $90 institutional; for Volumes 90-92, $129 list; $103 institutional member; for Volumes93-95, $173 list; $138 institutional member; for Volumes 96-98, $191 list; $153 institutionalmembers; for Volumes 99-101, $202 list; $162 institutional member.

Subscriptions and orders for publications of the American Mathematical Society should beaddressed to American Mathematical Society, P. O. Box 1571, Annex Station, Providence, R. I.02901-9930. All orders must be accompanied by payment. Other correspondence should be ad-dressed to P. O. Box 6248, Providence, R. I. 02940.

PROCEEDINGS of the American Mathematical Society is published monthlyby the American Mathematical Society at 201 Charles Street, Providence, R. I.

02904. Second-class postage is paid at Providence, Rhode Island. Postmas-

ter: Send address changes to PROCEEDINGS, American Mathematical Society,P. O. Box 6248, Providence, R. I. 02940.

Copyright ©1988 American Mathematical Society. All rights reserved.Printed in the United States of America

Information on Copying and Reprinting can be found at the back of this journal.

The paper used in this journal is acid-free and falls within the guidelinesestablished to ensure permanence and durability. @

Manuscript Information

1. Articles submitted for publication should be typewritten, double spaced,

and no more than 15 (8|" x 11") pages long. The Manual for Authors, available

from the Society, should be consulted for symbols and style conventions. Authors

should take the greatest possible care in preparing the original manuscript. Hand

drawn symbols are satisfactory, if clearly done; directions to the printer should be

included where necessary on a separate sheet. Authors must keep complete copies of

their manuscripts, and editors will acknowledge receipt. To encourage the submis-

sion of manuscripts in electronic form using T£X and the AjvlS-T^i macro package,the Executive Committee of the Council has adopted a policy that allows for ac-

celerating the publication date of such manuscripts by as much as 20 weeks, which

is approximately equal to the time normally needed by the Society for copyediting,

typesetting, and proofreading an average manuscript.

2. The first page should consist of a descriptive title, followed by an abstract

which summarizes the article in language suitable for workers in the general field

(algebra, analysis, etc.). The descriptive title should be short, but informative;

useless or vague phrases such as "some remarks about" or "concerning" should

be avoided. The abstract should be at least one complete sentence, and at most

150 words. Included with the footnotes to the paper, but placed before the first

footnote, there should be first the 1980 Mathematics Subject Classification (1985Revision) representing the primary and secondary subjects of the article. This may

be followed by a list of key words and phrases describing the subject matter of

the article and taken from it. A list of the numbers may be found in the annual

subject index of Mathematical Reviews, published with the December issue starting

in 1984.

3. A Copyright Transfer Agreement is required before a paper will be publishedin the Proceedings. A copy of the form is sent with the acknowledgement of receipt

of manuscript from the Providence office of the Society. Authors are urged to

return the forms immediately to prevent delays in processing and publishing of the

manuscript.

OFFPRINTS AND ADDRESS CHANGES. Any inquiries concerning a paper which has beenaccepted for publication, including information regarding offprints or changes of address for mailing

proof, should be sent directly to the Editorial Department, American Mathematical Society, P.O.

Box 6248, Providence, Rhode Island 02940.GALLEY PROOF. When a paper with more than one author has been accepted for publication,

only one set of galley proof will be sent. Joint authors should, therefore, indicate on the original

manuscript which of them should receive galley proof in the event that the manuscript is acceptedfor publication.

BACKLOG. 150 pages. Papers currently being accepted by the editors will be published in

12-14 months.COPYING AND REPRINTING. Individual readers of this publication, and nonprofit li-

braries acting for them are permitted to make fair use of the material, such as to copy an article

for use in teaching or research. Permission is granted to quote brief passages from this publicationin reviews provided the customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in this publication

(including abstracts) is permitted only under license from the American Mathematical Society. Re-

quests for such permission should be addressed to the Executive Director, American Mathematical

Society, P.O. Box 6248, Providence, Rhode Island 02940.The appearance of the code on the first page of an article in this journal indicates the copyright

owner's consent for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright

Law, provided that the fee of $1.00 plus $.25 per page for each copy be paid directly to Copy-

right Clearance Center, Inc., 21 Congress Street, Salem, Massachusetts 01970. This consent doesnot extend to other kinds of copying, such as copying for general distribution, for advertising or

promotion purposes, for creating new collective works, or for resale.

Submission of Manuscript

Send papers directly to one of the editors listed under the subject field of the paper. The

numbers in parentheses are the first two digits of major classification from the 1980 Mathematics

Subject Classification (1985 Revision) and describe the fields being handled by the editor.

LOGIC AND FOUNDATIONS (03 04)Thomas J. Jech, Department of Mathematics, Pennsylvania State University, University Park,

Pennsylvania 16802

COMBINATORICS AND DISCRETE MATHEMATICS (05 15)Thomas H. Brylawski, Department of Mathematics, University of North Carolina, Chapel

Hill, North Carolina 27514COMBINATORICS, COMPUTER SCIENCE AND INFORMATION THEORY (05 68 94)

Andrew Odlyzko, Room 2C-370, Bell Laboratories, Murray Hill, New Jersey 07974

COMMUTATIVE ALGEBRA (06 12 13 14 15 18)Louis J. Ratliff, Jr., Department of Mathematics, University of California, Riverside, Califor-

nia 92502GENERAL ALGEBRA (16 17 18 08)

Donald Passman, Department of Mathematics, University of Wisconsin, Madison, Wisconsin

53706GROUP THEORY (20)

Warren J. Wong, Department of Mathematics, University of Notre Dame, Notre Dame, Indi-

ana 46556ALGEBRAIC AND DIFFERENTIAL TOPOLOGY (55 57 58)

Frederick R. Cohen, Department of Mathematics, Building 380, Stanford University, Stanford,

California (until June 1988)REAL VARIABLES (26 28 40)

R. Daniel Mauldin, Department of Mathematics, North Texas State University, Dentón, Texas

76203COMPLEX VARIABLES (30 31 32)

Irwin Kra, Department of Mathematics, State University of New York at Stony Brook, Stony

Brook, New York 11794NUMBER THEORY (11)

William Adams, 11520 Lockhart Place, Silver Spring, Maryland 20902ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (33 34 39 49 58)

Kenneth R. Meyer, Department of Mathematical Sciences, University of Cincinnati, Cincin-

nati, Ohio 45221-0025PARTIAL DIFFERENTIAL EQUATIONS (35 49)

Barbara L. Keyfitz, Department of Mathematics, University of Houston-University Park,

Houston, Texas 77004

GENERAL ANALYSIS (41 42 43 44 45)J. Marshall Ash, Department of Mathematics, DePaul University, Chicago, Illinois 60614

FUNCTIONAL ANALYSIS AND OPERATOR THEORY (46 47)John B. Conway, Department of Mathematics, Indiana University, Bloomington, Indiana

47405FUNCTIONAL ANALYSIS AND CONVEXITY (46 52)

William J. Davis, Department of Mathematics, Ohio State University, Columbus, Ohio 43210

COMPLEX VARIABLES, FUNCTIONAL ANALYSIS AND OPERATOR THEORY (30 46 47)Paul S. Muhly, Department of Mathematics, University of Iowa, Iowa City, Iowa 52242

LIE GROUPS AND GEOMETRY (22 51 53)Jonathan M. Rosenberg, Department of Mathematics, University of Maryland, College Park,

Maryland 20742

GENERAL TOPOLOGY (54)Dennis Burke, Department of Mathematics, Miami University of Ohio, Oxford, Ohio 45056

James E. West, Department of Mathematics, Cornell University, Ithaca, New York 14853

PROBABILITY AND CERTAIN OTHER FIELDS (60-94 inclusive)William D. Sudderth, Department of Statistics, University of Minnesota, Minneapolis, Min-

nesota 55455George C. Papanicolaou, Applied Mathematics Division, New York University-Courant Insti-

tute, 251 Mercer Street, New York, New York 10012

All other communications should be addressed to the Managing Editor, William J. Davis, at

the above address.

VOLUME 102 S ¡Wñl M 1988

<ç0£ftDEDV

Proceedings*JL OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BY

William AdamsJ. Marshall AshThomas H. BrylawskiDennis BurkeFrederick R. CohenJohn B. ConwayWilliam J. Davis, Managing EditorThomas J. JechBarbara L. KeyfitzIrwin Kra

R. Daniel MauldinKenneth R. MeyerPaul S. MuhlyAndrew OdlyzkoGeorge C. Papanicolaou

Donald PassmanLouis J. Ratliff, Jr.Jonathan M. RosenbergWilliam D. SudderthJames E. WestWarren J. Wong

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

Copying and reprinting. Individual readers of this publication, and nonprofit libraries actingfor them, are permitted to make fair use of the material, such as to copy a chapter for use in teachingor research. Permission is granted to quote brief passages from this publication in reviews, providedthe customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in this publication

(including abstracts) is permitted only under license from the American Mathematical Society. Re-.

quests for such permission should be addressed to the Executive Director, American Mathematical

Society, P.O. Box 6248, Providence, Rhode Island 02940.The owner consents to copying beyond that permitted by Sections 107 or 108 of the U.S.

Copyright Law, provided that a fee of $ 1.00 plus $.25 per page for each copy be paid directly to the

Copyright Clearance Center, Inc., 21 Congress Street, Salem, Massachusetts 01970. When payingthis fee please use the code 0002-9939/88 to refer to this publication. This consent does not extend

to other kinds of copying, such as copying for general distribution, for advertising or promotion

purposes, for creating new collective works, or for resale.

Copyright ©1988 by the American Mathematical Society. All rights reserved.

Printed in the United States of AmericaThe American Mathematical Society retains all rights

except those granted to the United States Government.

The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability.

INDEX TO VOLUME 102"Starred items are Shorter Notes"

Adams, David R. Weighted capacity and the Choquet integral, 879.

Adams, Scot. An equivalence relation that is not ¡reely generated, 565.

Ahmad, Shair. On almost periodic solutions o¡ the competing species problems, 855.

Aiena, Pietro. An internal characterization o} inessential operators, 625.

Alsina, C. and Tomas, M. S. Smooth convex t-norms do not exist, 317.

Angenent, Sigurd. Analyticity o¡ the interface of the porous media equation after the waiting

time, 329.

Arapura, Donu. Vanishing theorems for V-manifolds, 43.

Aull, C. E. and Sawyer, J. O. The pseudocompact extension aX, 1057.

Bapat, R. B. Multinomial probabilities, permanents and a conjecture of Karlin and Rinott,

467.

Bárány, I. and Füredi, Z. Approximation o¡ the sphere by polytopes having ¡ew vertices, 651.

Barrett, David E. A remark on the global embedding problem ¡or three-dimensional CR man-

ifolds, 888.Barton, T. J., Dang, T. and Horn, G. Normal representations of Banach Jordan triple sys-

tems, 551.

Bator, Elizabeth M. A decomposition o¡ bounded scalarly measurable ¡unctions taking their

ranges in dual Banach spaces, 850.

Bauer, Stefan and May, J. P. Maximal ideals in the Burnside ring o¡ a compact Lie group,

684.Beauregard, Raymond A. Le¡t Ore principal right ideal domains, 459.

Beer, Gerald and Kenderov, Petar. On the arg min multifunction for lower semicontinuous

¡unctions, 107.

Bekolle, David. The Bloch space and BMO analytic ¡unctions in the tube over the spherical

cone, 949.

Bhatia, Nam P. and Egerland, Walter O. A refinement of Sarkovskii's theorem, 965.

Birman, Joan S. and Kanenobu, Taizo. Jones' braid-plat formula, and a new surgery triple,

687.Bjon, Sten and Lindstrom, Mikael. Characterization of Schwartz spaces by their holomorphic

duals, 909.

Blackwell, D. and Ramakrishnan, S. Stationary plans need not be uniformly adequate for

leavable, Borel gambling problems, 1024.

Bloom, Steven, Vignati, Anita Tabacco and Vignati, Marco. Interpolation and factorization of

operators, 567.

Boas, H. P. and Boas, R. P. Short proofs of three theorems on harmonic ¡unctions, 906.

Boas, R. P. See Boas, H. P.

Bollenbacher, Alberta and Hicks, T. L. A fixed point theorem revisited, 898.

Bolondi, Giorgio. Smoothing curves by reflexive sheaves, 797.

Boyer, Charles P. A note on hyperhermitian four manifolds, 157.

Breen, Marilyn, k partitions and a characterization for compact unions o¡ k starshaped sets,

677.

Brown, J. B., Humke, P. and Laczkovich, M. Measurable Darboux ¡unctions, 603.

Brown, Leon and Korenblum, Boris. Cyclic vectors in A~°°, 137.

Büchner, Michael A. and Kucharz, Wojciech. Topological trivahty o¡ a ¡amily o¡ zero-sets, 699.

Burghelea, Dan and Kappeler, Thomas. Multiplicities o¡ the eigenvalues o} the discrete Schro-

dinger equation in any dimension, 255.

Burke, Maxim R. and Fremlin, David H. A note on measurability and almost continuity, 611.

INDEX TO VOLUME 100

Campbell, James T. See Dibrell, Phillip

Capozzi, A., Greco, C. and Salvatore, A. Lagrangian systems in the presence o¡ singularities,

125.

Carlson, Jon F. On exponents of homology and cohomology of finite groups, 814.

Caselles, V. A short proof of the equivalence of KMP and RNP in Banach lattices and

preduals of von Neumann algebras, 973.

Chan, Jean B. A Krasnosel'skii-type theorem involving p-arcs, 667.

Chicone, Carmen and Dumortier, Freddy. A quadratic system with a nonmonotonic period

¡unction, 706.

Chin, William and Quinn, Decían. Rings graded by poly cyclic-by-finite groups, 235.

Choi, Man-Duen. Almost commuting matrices need not be nearly commuting, 529.

Cichori, J. and Morayne, M. Universal ¡unctions and generalized classes o¡ ¡unctions, 83.

Cohn, William S. Complemented invariant subspaces o¡ Hp, 0 < p < 1, and the Hahn-Banach

extension property, 121.

Coleman, Robert F. On the Frobenius endomorphisms o{ Fermât and Artin-Schreier curves,

463.Colonna, Flavia. On normality o¡ Blaschke quotients, 71.

Coupet, Bernard. Le dual des ¡onctions holomorphes integrables sur un domaine strictement

pseudo-convexe, 493.

Curtis, Charles W. A ¡urther refinement of the Bruhat decomposition, 37.

Cwikel, Michael and Sagher, Yoram. Analytic ¡amities o¡ operators on some quasi-Banach

spaces, 979.

Czuba, Stanislaw T. On dendroids with Kelley's property, 728.

Dang, T. See Barton, T. J.

Daughtry, John. Invariance o¡ projections in the diagonal of a nest algebra, 117.

Deo, Satya and Roy, Atul N. Tautness and locally finitely-valued Alexander-Spanier cochains,

426.Dibrell, Phillip and Campbell, James T. Hyponormal powers of composition operators, 914.

Dinculeanu, Nicolae. Vector-valued stochastic processes. IL A Radon-Nikodym theorem for

vector-valued processes with finite variation, 393.

Dlugosz, Jolanta. Convolution operators on groups and multiplier theorems ¡or Hermite and

Laguerre expansions, 919.

Donder, Hans-Dieter, Koepke, Peter and Levinski, Jean-Pierre. Some stationary subsets of

P(\), 1000.Dow, A., Gubbi, A. V. and Szymanski, A. Rigid Stone spaces within ZFC, 745.

Dugas, Manfred. On the Jacobson radical of some endomorphism rings, 823.

Dumortier, Freddy. See Chicone, Carmen

Dydak, J., Segal, J. and Spiez, S. A nonmovable space with movable components, 1081.

Dydak, Jerzy and Kozlowski, George. A generalization of the Vietoris-Begle theorem, 209.

Earle, Clifford J. Conformally natural extension o¡ vector fields ¡rom S"-1 to Bn, 145.

Eastwood, Michael G. The Hill-Penrose-Sparling CR mani¡olds, 627.

Egerland, Walter O. See Bhatia, Nam P.

Engl, Heinz W. and Neubauer, Andreas. Convergence rates ¡or Tikhonov regularization in

finite dimensional subspaces of Hilbert scales, 587.

Esteban, Maria J. A remark on the existence of positive periodic solutions o¡ superlinear

parabolic problems, 131.

Ewing, John, Löffler, Peter and Pedersen, Erik Kjaer. A rational torsion invariant, 731.

Farmaki, Vasiliki A. co-subspaces and ¡ourth dual types, 321.

Feit, Walter. On large Zsigmondy primes, 29.

Figiel, T., Johnson, W. B. and Schechtman, G. Random sign embeddmgs ¡rom I", 2 < r < co,

102.Fine, Benjamin, Howie, James and Rosenberger, Gerhard. One-relator quotients and free prod-

ucts o¡ cyclics, 249.

Fine, Benjamin. See Frohman, Charles.

Franks, John M. and Handel, Michael. Entropy and exponential growth of -n\ in dimension

two, 753.

Fremlin, David H. See Burke, Maxim R.

Frohman, Charles and Fine, Benjamin. Some amalgam structures for Bianchi groups, 221.

INDEX TO VOLUME 102

Füredi, Z. See Bárány, I.

Gerver, Joseph, Propp, James and Simpson, Jamie. Greedily partitioning the natural numbers

into sets free 0} arithmetic progressions, 765.

Grätzer, George and Kelly, David. Subdirectly irreducible members 0} products 0} lattice va-

rieties, 483.

Greco, C. See Capozzi, A.

Grinberg, Eric L. A boundary analogue oj Morera's theorem in the unit ball o/C", 114.

Grubb, D. J. Summation methods and uniqueness in Vilenkin groups, 556.

Guangxin, Zeng. A new proof 0} McKenna's theorem, 827.

Gubbi, A. V. See Dow, A.

Gutierrez, Cristian E. Weighted norm inequalities ¡or multipliers, 290.

Hadwin, Don and Nordgren, Eric. Extensions 0} the Berger-Shaw theorem, 517.

Hadzié, Olga. Some properties of measures 0} noncompactness in paranormed spaces, 843.

Handel, Michael. See Franks, John M.

Hare, Kathryn E. A characterization o¡ Lp-improving measures, 295.

Harris, Gary and Martin, Clyde. Large roots yield large coefficients: An addendum to 'the

roots of a polynomial vary continuously as a ¡unction of the coefficients', 993.

Hladnik, Milan and Omladic, Matjaá. Spectrum 0} the product 0} operators, 300.

Hicks, T. L. See Bollenbacher, Alberta.

Hockett, Kevin and Holmes, Philip. Bifurcation to badly ordered orbits in one-parameter fam-

ilies 0} circle maps, or angels ¡alien ¡rom the Devil's staircase, 1031.

Holmes, Philip. See Hockett, Kevin.

Horn, G. See Barton, T. J.

Hovstad, R. M. A reconsideration 0} the general parabola theorem in continued fractions,

593.

Howie, James. See Fine, Benjamin.

Humke, P. See Brown, J. B.

Ihoda, Jaime and Shelah, Sanaron. Q-sets do not necessarily have strong measure zero, 681.

Jackowski, Stefan. A fixed-point theorem for p-group actions, 205.

Jamjoom, Fatma B. and Zaheer, N. On Hörmander's ratio theorems, 311.

Jensen, R., Lions, P. L. and Souganidis, P. E. A uniqueness result ¡or viscosity solutions 0/

second order ¡ully nonlinear partial differential equations, 975.

Jerrard, Richard. On the sphere conjecture 0/ Birkhoff, 193.

Johnson, W. B. See Figiel, T.

Kahn, Jeff and Seymour, Paul. On forbidden minors ¡or GF(3), 437.

Kanenobu, Taizo. See Birman, Joan S.

Rappeler, Thomas. See Burghelea, Dan.

Kelly, David. See Grätzer, George.

Kenderov, Petar. See Beer, Gerald.

Khurana, Surjit Singh. Extensions 0} certain compact operators on vector-valued continuous

Junctions, 268.

Kimura, Takashi. The gap between cmp X and def X can be arbitrarily large, 1077.

Kirkman, Ellen and Kuzmanovich, James. On the global dimension of a ring modulo its nilpo-

tent radical, 25.

Kissin, E. V. Invariant subspaces ¡or derivations, 95.

Koepke, Peter. See Donder, Hans-Dieter

Korenblum, Boris. See Brown, Leon

Kowalski, O. and Vanhecke, L. The Gelfand theorem and its converse ¡or Kahler manifolds,

150.

Koyama, A., Mardeêié, S. and Watanabe, T. Spaces which admit AR-resolutions, 749.

Kozlowski, George. See Dydak, Jerzy

Kubokawa, Yoshihiro. A construction of finite and a-finite invariant measures in measure

spaces, 373.

Kucharz, Wojciech. Analytic and differentiate ¡unctions vanishing on an algebraic set, 514.-. See Büchner, Michael A.

Kurdyka, Krzysztof and Rusek, Kamil. Polynomial-rational bijections o/R", 804.

Kusuda, Masaharu. Hereditary C* -subalgebras o¡ C* -crossed products, 90.

INDEX TO VOLUME 102

Kuttner, Brian and Parameswaran, Mangalam R. A Tauberian theorem ¡or Hausdorff methods,

139.

Kuzmanovich, James. See Kirkman, Ellen.

Laczkovich, M. See Brown, J. B.

Lau, Anthony T. M. and Wong, James C. S. Invariant subspaces for algebras of linear oper-

ators and amenable locally compact groups, 581.

Lau, Anthony To-Ming and Paterson, Alan L. T. Operator theoretic characterizations of [IN\-

groups and inner amenability, 893.

Leänjak, Gorazd. Complex convexity and finitely additive vector measures, 867.

Lazar, Aldo, Tsui, Sze-Kai and Wright, Stephen. Pure state extensions of the trace on the

Choi algebra, 957.

Levental, Shlomo. A proof o¡ Liggett's version o} the subadditive ergodic theorem, 169.

Levinski, Jean-Pierre. See Donder, Hans-Dieter

Levitt, Norman. Bundles along the fiber in the PL category, 213.

Lin, Bor-Luh, Lin, Pei-Kee and Troyanski, S. L. Characterizations o¡ denting points, 526.

Lin, Chang-Shou and Ni, Wei-Ming. A counterexample to the nodal domain conjecture and a

related semilmear equation, 271.

Lin, E. B. and Wong, B. A note on pseudoconvexity and proper holomorphic mappings, 646.

Lin, Pei-Kee. See Lin, Bor-Luh

Lin, Tzu-Chu. Approximation theorems and fixed point theorems in cones, 502.

Lindstrom, Mikael. See Bjon, Sten.

Lions, P. L. See Jensen, R.

Loffler, Peter. See Ewing, John.

Mahowald, Mark and Thompson, Robert. Unstable compositions related to the image of J,

431.Maly, J., Preiss, D. and Zajííek, L. An unusual monotonicity theorem with applications, 925.

MardeSié, S. See Koyama, A.

Martin, Clyde. See Harris, Gary.

Mastylo, Mieczyslaw. Notes on interpolation by the real method between C(T, Aq) andC(T, Ai),

945.Matsubara, Yo. Variations of cub filter on P^X, 1009.

May, J. P. See Bauer, Stefan.

Meerschaert, Mark M. Regular variation in Rk, 341.

Méndez, J. M. A mixed Parseval equation and the generalized Hankel transformations, 619.

Metropolis, N. and Rota, Gian-Carlo. Symmetric functions: A bijective identity, 218.

Milovanovié, Gradimir V. and Petkovié, Miodrag S. Extremal problems ¡or Lorentz classes o¡

nonnegative polynomials in L2 metric with Jacobi weight, 283.

Mizokami, Takemi. Expansion o¡ discrete and closure preserving families, 402.

Moerdijk, Ieke. Path-lifting ¡or Grothendieck toposes, 242.

Mohapatra, R. N., O'Hara, P. J. and Rodriguez, R. S. Simple proofs of Bernstein-type inequal

ities, 629.

Mollin, R. A. Necessary and sufficient conditions for the class number o¡ a real quadratic

field to be one, and a conjecture o¡ S. Chowla, 17.

Mollin, R. A. and Williams, H. C. A conjecture o¡ S. Chowla via the generalized Riemann

hypothesis, 794.

Montesinos, José María. Two questions on Heegard diagrams o¡ S3, 421.

Morayne, M. See Cichoñ, J.

Móricz, Ferenc. Convergence and mtegrability o} double trigonometric series with coefficients

o¡ bounded variation, 633.

Mramor-Kosta, Ne2a. The set o} balanced points with respect to S1 and S3 actions o¡ maps

into Banach space, 723.

Nabutovsky, A. V. Irrationality of limits of quickly convergent algebraic numbers sequences,

473.

Neubauer, Andreas. See Engl, Heinz W.

Ng, C. T. On midconvex ¡unctions with midconcave bounds, 538.

Ngo, Viet. A structure theorem ¡or discontinuous derivations o¡ Banach algebras o¡ differ

entiable ¡unctions, 507.

Ni, Wei-Ming. See Lin, Chang-Shou

INDEX TO VOLUME 102

Nicholson, W. K. and Watters, J. F. Rings with projective socle, 443.

Njâstad, Olav. Unique solvability o¡ an extended Stieltjes moment problem, 78.

Nordgren, Eric. See Hadwin, Don

Oertel, Ulrich. Sums o¡ incompressible surfaces, 711.

O'Hara, P. J. See Mohapatra, R. N.

Omladic, Matjaz\ See Hladnik, Milan.

Ono, Kaoru. On the holomorphicity of harmonie maps from compact Kahler manifolds to

hyperbolic Riemann surfaces, 1071.

Pak, Jin Suk and Sakamoto, Kunio. 4-planar geodesic Kaehler immersions into a complex

projective space, 995.

Parameswaran, Mangalam R. See Kuttner, Brian.

Parry, Walter. Counterexamples involving growth series and Euler characteristics, 49.

Paterson, Alan L. T. See Lau, Anthony To-Ming

Pedersen, Erik Kjaer. See Ewing, John.

Penner, R. C. Extremal lengths on Denjoy domains, 641.

Pérez-González, F. Hp joint approximation, 577.

Petkovié, Miodrag S. See Milovanovié, Gradimir V.

Petrich, Mario and Thierren, Gabriel. Congruences associated with DOL-schemes, 787.

Pickrell, Doug. The separable representations ofrü(H), 416.

Port, S. C. and Vitale, R. A. Positivity o¡ stable densities, 1018.

Preiss, D. See Maly, J.

Propp, James. See Gerver, Joseph.

Quinn, Declan. Embeddmgs o¡ differential operator rings and Goldie dimension, 9.-. See Chin, William.

Ramakrishnan, S. See Blackwell, D.

Raákovié, Miodrag. Completeness theorem ¡or singular biprobability models, 389.

Rhemtulla, A. H. and Wilson, J. S. Elliptically embedded subgroups o¡ polycyclic groups, 230.*Ricker, Werner. Vector measures with values in the compact operators, 441.*Rigas, A. An elementary section o¡ a bundle, 1099.

Rigoli, Marco. On immersed compact submanifrlds o¡ Euclidean space, 153.

Riihentaus, Juhani. Removable singularities in the Nevanlinna class and in the Hardy classes,

546.

Robinson, E. Arthur, Jr. Ergodic properties that lifr to compact group extensions, 61.

Rodriguez, R. S. See Mohapatra, R. N.

Rogers, J. T., Jr. Atriodic homogeneous nondegenerate continua are one-dimensional, 191.

Rosenberger, Gerhard. See Fine, Benjamin.

Ross, David. Measures invariant under local homeomorphisms, 901.

Rota, Gian-Carlo. See Metropolis, N.

Roy, Atul N. See Deo, Satya.

Rusek, Kamil. See Kurdyka, Krzysztof.

Sagher, Yoram. See Cwikel, Michael.

Saitoh, Saburou. Fourier-Laplace transforms and the Bergman spaces, 985.

Sakamoto, Kunio. See Pak, Jin Suk.

Salvatore, A. See Capozzi, A.

Samotij, Krzysztof. A counterexample to an F. and M. Riesz-type theorem, 337.

Sander, J. W. On a conjecture of Graham, 455.

Saworotnow, P. P. Relation between right and left involutions o} a Hilbert algebra, 57.

Sawyer, J. O. See Aull, C. E.

Schechtman, G. See Figiel, T.

Schenzel, Peter. Filtrations and Noetherian symbolic blow-up rings, 817.

Schmidt, Klaus D. On the modulus o} weakly compact operators and strongly additive vector

measures, 862.

Schmüdgen, Konrad. Strongly commuting seljadjoint operators and commutants o¡ unbounded

operator algebras, 365.

Schonbek, Tomas P. Lp multipliers; A new proof of an old theorem, 361.

Schwartz, Charles F. On a family of elliptic surfaces with Mordell Weil rank 4, 1.

Segal, J. See Dydak, J.

INDEX TO VOLUME 102

Sehgal, V. M. and Singh, S. P. A generalization to multifunctions o¡ Fan's best approximation

theorem, 534.

Seymour, Paul. See Kahn, Jeff.

Serrano, Fernando. A note on quadrics through an algebraic curve, 451.

Shafrir, Itai. A note on the minimum property, 490.

Shelah, Sanaron. See Ihoda, Jaime.

Shen, Li-Chien. On the area o¡ the region where an entire ¡unction is greater than one, 68.

Simpson, Jamie. See Gerver, Joseph.

Singh, Harpreet. Lusternik-Schnirelmann category and cobordism, 183.

Singh, Ram. On the partial sums o¡ convex ¡unctions o¡ order 1/2, 541.

Singh, S. P. See Sehgal, V. M.Solel, Baruch. Factorization in operator algebras, 613.

Sorbi, Andrea. On quasi minimal e-degrees and total e-degrees, 1005.

Souganidis, P. E. See Jensen, R.

Spiez, S. See Dydak, J.

Stegall, Charles. Generalizations o¡ a theorem o¡ Namioka, 559.

Stembridge, John R. A short proof of Macdonald's conjecture for the root systems of type A,

777.

Sterba-Boatwright, B. D. Thurston norm and taut branched sur¡aces, 1052.

Szymanski, A. See Dow, A.

Tanahashi, Kôtarô. Spectral manifolds of bounded S -decomposable operators, 939.

Telgársky, Rastislav. and Wicke, Howard H. Complete exhaustive sieves and games, 737.

Terada, Toshiji. Function spaces and local characters of topological spaces, 202.

Thierren, Gabriel. See Petrich, Mario.

Thompson, Robert. See Mahowald, Mark.

Tomas, M. S. See Alsina, C.

Toth, Gabor. On classification of quadratic harmonie maps of S3, 174.

Trace, Bruce. A note concerning the 3 manifolds which span certain surfaces in the 4-ball,

177.Troyanski, S. L. See Lin, Bor-Luh.

Tsui, Sze-Kai. See Lazar, Aldo.

Tung, Shih-Ping. Decidable sentences over polynomial rings, 383.

Vanhecke, L. See Kowalski, O.

Vega, Luis. Schrodinger equations: pointwise convergence to the initial data, 874.

Vignati, Anita Tabacco. See Bloom, Steven.

Vignati, Marco. See Bloom, Steven.

Vitale, R. A. See Port, S. C.Vogel, Annie. Embeddings of the maximal quotient ring of a Von Neumann regular ring into

its completion with respect to a rank ¡unction, 480.

Wallen, Lawrence J. One parameter groups and the characterization o¡ the sine ¡unction, 59.

Wang, Xiaolu. On the relation between C* algebras o¡foliations and those of their coverings,

355.Watanabe, Seiji. Lp continuity o¡ positive semigroups on finite von Neumann algebras, 840.

Watanabe, T. See Koyama, A.

Watson, Stephen. Number versus size, 761.

Watters, J. F. See Nicholson, W. K.

West, Thelma. Spans of simple triods, 407.

Whittle, Geoffrey. Quotients o¡ tangential k blocks, 1088.

Wicke, Howard H. See Telgársky, Rastislav*Widom, Harold. On an inequality o¡ Osgood, Phillips, and Sarnak, 773.

Williams, H. C. See Mollin, R. A.

Wilson, J. Michael. A note on the g ¡unction, 381.

Wilson, J. S. See Rhemtulla, A. H.

Winkelnkemper, H. E. A generalization oj the Romearé Birkhoff theorem, 1028.

Wong, B. See Lin, E. B.

Wong, James C. S. See Lau, Anthony T. M.

Wong, Raymond Y. A Hubert cube L S category, 720.

Wright, Stephen. See Lazar, Aldo.

INDEX TO VOLUME 102

Würfel, Tilmann. A note on the cup product ¡or prop groups, 809.

Wysoczanski, Janusz. On uniformly amenable groups, 933.

Xie, Mingqin. An estimate ¡or certain meromorphic univalent ¡unctions, 278.

Würfel, Tilmann. A note on the cup product ¡or prop groups, 809.

Yamaguchi, Takao. Homotopy type finiteness theorems ¡or certain precompact ¡amities of

Riemannian manifolds, 660.

Yannelis, Nicholas C. Fatou's lemma in infinite-dimensional spaces, 303.

Ylinen, Kari. The structure o¡ bounded bilinear ¡orms on products o¡ C* -algebras, 599.

Yoneda, Kaoru. A generalized capacity and a uniqueness theorem on the dyadic group, 52.

Yongbin, Ruan. On the cardinality o¡ a topology, 696.

Yoshikawa, Katsuyuki. A ribbon knot group which has no free base, 1065.

Younis, Rahman. On extreme points o¡ ¡amities described by subordination, 349.*Yueqing, Chen. Answer to a problem of Miller, Tib.

Zaheer, N. See Jamjoom, Fatma B.

ZajiCek, L. See Maly, J.

Zame, Alan. Conglomerability and finite partitions, 165.

Zhang, Shuang. Derivations and hperivariant subspaces of a bounded operator, 261.

Zimmermann, Karl. Galois endomorphisms of the torsion subgroup of one parameter generic

formal groups, 22.

Zworski, Maciej. Decomposition of normal currents, 831.

ABCDEFGHIJ-898

CONTENTS—Continued from back cover

A refinement of Sarkovskii's theorem. By NAM P. BHATIA and WALTER O. EGERLAND 965

A short proof of the equivalence of KMP and RNP in Banach lattices and preduals of von

Neumann algebras. By V. CASELLES . 973

A uniqueness result for viscosity solutions of second-order fully nonlinear partial differential

equations. By R. JENSEN, P. L. LIONS and P. E. SOUGANIDIS. 975

Analytic families of operators on some quasi-Banach spaces. By MICHAEL CWIKEL and

YORAM SAGHER. 979

Fourier-Laplace transforms and the Bergman spaces. By SABUROU SAITOH. 985

Large roots yield large coefficients: An addendum to 'the roots of a polynomial vary contin-

uously as a function of the coefficients'. By GARY HARRIS and CLYDE MARTIN 993

D. GEOMETRY

4-planar geodesic Kaehler immersions into a complex projective space. By JIN SUK PAK

and KUNIO SAKAMOTO. 995

E. LOGIC AND FOUNDATIONS

Some stationary subsets of P(\). By HANS-DIETER DONDER, PETER KOEPKE and

JEAN-PIERRE LEVINSKI. 1000

On quasi-minimal e-degrees and total e-degrees. By ANDREA SORBI. 1005

Variations of cub filter on PkX. By Yo MATSUBARA. 1009

F. STATISTICS AND PROBABILITY

Positivity of stable densities. By S. C. PORT and R. A. VITALE. 1018

Stationary plans need not be uniformly adequate for leavable, Borel gambling problems.

By D. Blackwell and S. Ramakrishnan. 1024

G. TOPOLOGY

A generalization of the Poincaré-Birkhoff theorem. By H. E. WlNKELNKEMPER. 1028

Bifurcation to badly ordered orbits in one-parameter families of circle maps, or angels fallen

from the Devil's staircase. By KEVIN HOCKETT and PHILIP HOLMES . 1031

Thurston norm and taut branched surfaces. By B. D. Sterba-Boatwright. 1052

The pseudocompact extension aX. By C. E. AULL and J. O. SAWYER. 1057

A ribbon knot group which has no free base. By KATSUYUKI YOSHIKAWA . ,. 1065

On the holomorphicity of harmonic maps from compact Kahler manifolds to hyperbolic

Riemann surfaces. By KAORU ONO. 1071

The gap between cmp X and def X can be arbitrarily large. By Takashi Kimura- 1077

A nonmovable space with movable components. By J. DYDAK, J. SEGAL and S. SPIEZ 1081

H. COMBINATORICS

Quotients of tangential fc-blocks. By GEOFFREY WHITTLE . 1088

SHORTER NOTES

An elementary section of a bundle. By A. RIGAS 1099

CONTENTS

Vol. 102, No. 4 April 1988 Whole No. 346

A. ALGEBRA AND NUMBER THEORY

A short proof of Macdonald's conjecture for the root systems of type A. By JOHN R.

STEMBRIDGE. 777

Congruences associated with DOL-schemes. By MARIO PETRICH and Gabriel THIER-

REN. 787

A conjecture of S. Chowla via the generalized Riemann hypothesis. By R. A. MOLLIN

and H. C. WILLIAMS. 794

Smoothing curves by reflexive sheaves. By GIORGIO BOLONDI. 797

Polynomial-rational bijections of R". By KRZYSZTOF KURDYKA and KAMIL RUSEK . 804

A note on the cup product for pro-p groups. By TlLMANN WÜRFEL. 809

On exponents of homology and cohomology of finite groups. By JON F. CARLSON. 814

Filtrations and Noetherian symbolic blow-up rings. By PETER SCHENZEL . 817

On the Jacobson radical of some endomorphism rings. By MANFRED DUGAS. 823

A new proof of McKenna's theorem. By ZENG GUANGXIN. 827

B. ANALYSIS

Decomposition of normal currents. By MACIEJ ZWORSKI. 831

Lp-continuity of positive semigroups on finite von Neumann algebras. By Seui WATA-

NABE . 840

Some properties of measures of noncompactness in paranormed spaces. By OLGA HADZIC 843

A decomposition of bounded scalarly measurable functions taking their ranges in dual

Banach spaces. By ELIZABETH M. BATOR. 850

On almost periodic solutions of the competing species problems. By SHAIR AHMAD . . . 855

On the modulus of weakly compact operators and strongly additive vector measures. By

Klaus D. Schmidt. 862

Complex convexity and finitely additive vector measures. By GORAZD LeSnjak. 867

Schrodinger equations: pointwise convergence to the initial data. By LUIS VEGA . 874

Weighted capacity and the Choquet integral. By DAVID R. ADAMS. 879

A remark on the global embedding problem for three-dimensional CR manifolds. By

David E. Barrett. 888

Operator theoretic characterizations of [/A^-groups and inner amenability. By ANTHONY

To-MING LAU and ALAN L. T. PATERSON. 893

A fixed point theorem revisited. By ALBERTA BOLLENBACHER and T. L. HlCKS. 898

Measures invariant under local homeomorphisms. By DAVID ROSS . 901

Short proofs of three theorems on harmonic functions. By H. P. BOAS and R. P. BOAS 906

Characterization of Schwartz spaces by their holomorphic duals. By STEN BJON and

MlKAEL LINDSTROM. 909

Hyponormal powers of composition operators. By PHILLIP DlBRELL and JAMES T.

Campbell. 914

Convolution operators on groups and multiplier theorems for Hermite and Laguerre expan-

sions. By JOLANTA DLUGOSZ. 919

An unusual monotonicity theorem with applications. By J. MALY, D. Preiss and L.

ZAJÍCEK. 925

On uniformly amenable groups. By JANUSZ WYSOCZANSKI. 933

Spectral manifolds of bounded S-decomposable operators. By KÔTARÔ TANAHASHI . . 939

Notes on interpolation by the real method between C(T, Ao) and C(T, Ai). By MlECZY-

SLAW MASTYLO. 945

The Bloch space and BMO analytic functions in the tube over the spherical cone. By

DAVID BEKOLLE. 949

Pure state extensions of the trace on the Choi algebra. By ALDO LAZAR, SZE-KAI TSUI

and STEPHEN WRIGHT. 957

(Continued on inside back cover)