VOLUME 87 NUMBERS 1-4 S ÏFJnfffs 1)8 JANUAR Y-APRIL 1983

WHOLE NUMBERS 283-286

PROCEEDINGSJL OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYThomas H. BrylawskiJeff CheegerDoug CurtisWilliam J. DavisBert E. FristedtRichard R. Goldberg, Managing EditorDavid M. GoldschmidtLarry J. GoldsteinThomas J. JechW. E. KirwanDavid J. LutzerCatherine L. OlsenDonald PassmanDonald SarasonReinhard E. SchultzGeorge R. SellJ. Jerry Uhl, Jr.William C. Waterhouse

PROVIDENCE, RHODE ISLAND USAISSN 0002-9939

Proceedings of the American Mathematical SocietyThis journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 120-122 (1994) are $579 list; $463institutional member; $347 individual member. A late charge of 10% of the subscrip-tion price will be imposed upon orders received from nonmembers after January 1 of thesubscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expediteddelivery to destinations in North America—$38; elsewhere—$90.

Back number information. For back issues see the AMS Catalog of Publications.

Subscriptions and orders should be addressed to the American Mathematical Society,P.O. Box 5904, Boston, MA 02206-5904. All orders must be accompanied by payment.Other correspondence should be addressed to P. O. Box 6248, Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit librariesacting for them, are permitted to make fair use of the material, such as to copy an articlefor use in teaching or research. Permission is granted to quote brief passages from thispublication in reviews provided the customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in thispublication (including abstracts) is permitted only under license from the AmericanMathematical Society. Requests for such permission should be addressed to the Man-ager of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence,RI 02940-6248. Requests can also be made by e-mail to reprint-permission®math.ams.org.

The appearance of the code on the first page of an article in this journal indicates thecopyright owner's consent for copying beyond that permitted by Sections 107 or 108 ofthe U.S. Copyright Law, provided that a fee of $1.00 plus $.25 per page for each copybe paid directly to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers,MA 01923. This consent does not extend to other kinds of copying, such as copying forgeneral distribution, for advertising or promotion purposes, for creating new collectiveworks, or for resale.

Proceedings of the American Mathematical Society is published monthly by the Amer-ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-class postage is paid at Providence, Rhode Island. Postmaster: Send address changes toProceedings, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248.

© Copyright 1983 by the American Mathematical Society. All rights reserved.Printed in the United States of America.

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

10 9 8 7 6 5 4 3 2 99 98 97 96 95 94

INDEX TO VOLUME 87"Starred items are Shorter Notes"

Abramowich, J. On Gronwall and Wendroff type inequalities, 481.Ahmad, Shair. On Sturmtan theory for second order systems, 661.Alonso, Juan M. Fibrations that are cofibrations, 749.Ancel, Fredric D. and Singh, S. Rigid finite dimensional compacta whose squares are manifolds, 342.Appelgate, H. and Onishi, H. Similarity problem over SL(n, Zp), 233.Arazy, Jonathan. On stability of unitary matrtz spaces, 317.Argyros, S. and Negrepontis, S. On weakly K-countably determined spaces of continuous functions, 731.Balogh, Zoltán and Junnila, Heikki. Totally analytic spaces under V = L, 519.Bandt, Christoph. Metric invariance of Haar measure, 65.Bankston, Paul. On productive classes of function rings, 11.Barnes, Bruce A. A note on separating families of representations, 95.Beasley, L. B. and Cummings, L. J. On the uniqueness of generalized matrix functions, 229.Belna, C. L. Symmetric continuity of real functions, 99.Benedetti, R. and Dedö, M. A cycle is the fundamental class of an Euler space, 169.Berman, Robert D. A converse to the Lusm-Pnvalov radial uniqueness theorem, 103.Bernhardt, Chris. Periodic points and topological entropy of maps of the circle, 516.Block, Louis and Franke, John, E. The chain recurrent set for maps of the interval, 723.de Boor, C. and Höllig, K. Approximation order from bivanate Cl -cubics: A counterexample, 649.Borwein, J. M. Completeness and the contraction principle, 246.Boyarsky, Abraham. Approximating the absolutely continuous measures invariant under general maps

of the interval, 475.Brenner, Gary. A simple construction for rigid and weakly homogeneous Boolean algebras answering a

question of Rubin, 601.Brodmann, Markus and Rotthaus, Christel. A peculiar unmixed domain, 596.Brooks, Robert. The A-genus of complex hypersurfaces and complete intersections, 528.Brown, William C. A note on the Cohen-Macaulay type of lines in uniform position m A""*"1, 591.Buchdahl, N. On the relative de Rham sequence, 363.Cartwright, Donald I. Lebesgue constants for Jacobi expansions, 427.Choi, Man-Duen and Tsui, Sze-Kai. Tracial positive linear maps of C-algebras, 57.Choy, Stephen T. L. One-to-one operators on function spaces, 691.Christ, Michael and Fefferman, Robert. A note on weighted norm inequalities for the Hardy-Littlewood

maximal operator, 447.Cichon, E. A. A short proof of two recently discovered independence results using recursion theoretic

methods, 704.Coffman, Charles V. An alternate variational principle for Au — u + |u|r_1 sgn u = 0, 666.Cohn, Richard M. Order and dimension, 1.Coifman, R., Jones, Peter W. and Rubio de Francia, José L. Constructive decomposition of BMO

functions and factorization of Av weights, 675.Connell, E. and Drost, J. Conservative and divergence free algebraic vector fields, 607.Costa, D., Gallardo, L. and Querré, J. On the distribution of prime elements in polynomial Krull

domains, 41.Cowie, E. R. An analytic characterization of groups with no finite conjugacy classes, 7.Cummings, L. J. See Beasley, L. B.Cusick, Larry W. Elementary abelian 2-groups that act freely on products of real projective spaces, 728.Dedô, M. See Benedetti, R.De Marco, G., Le Donne, A. and Wilson, R. G. Compact dispersed spaces and the a-left property, 737.Dibag, I. On the Adams conjecture, 367.Dinculeanu, Nicolae. Uniform o-additivity m spaces of Bochner or Pettis integrable functions over a

locally compact group, 627.Ditzian, Z. On inequalities of periodic functions and their derivatives, 463.Donnelly, Harold. On the spectrum of towers, 322.

756 INDEX TO VOLUME 87

Drost, J. See Connell, E.Evans, Ronald J. The octic period polynomial, 389.Falkner, Neil. Closable operators and semigroups, 107.Fefferman, Robert. See Christ, Michael.Feinsilver, Philip, q-probability distributions via an extension of the Bernoulli process, 508.Ferguson, Pamela A. Relative normal complements m finite groups, 37.Foata, Dominique and Leroux, Pierre. Polynômes de Jacobi, interprétation combinatoire et fonction

génératrice, 47.Foias, Ciprian. See Sz.-Nagy, Bêla.Fournier, Richard. A note on neighbourhoods of univalent functions, 117.Franke, John E. See Block, Louis.Fried, David. Entropy for smooth abelian actions, 111.Fritsch, Rudolf. Remark on the simplicial-cosimplicial tensor product, 200.Gallardo, L. See Costa, D.Garcia-Cuerva, Jose. An extrapolation theorem in the theory of Av weights, 422.Ginsberg, Matthew L. Green's functions coupled to self-dual Maxwell fields, 137.Glasner, Moses. Stokes' theorem and parabolicity of Riemannian manifolds, 70.Godini, G. Rough and strongly rough norms on Banach spaces, 239.Goldman, Jay R. Numbers of solutions of congruences Pomcaré series for strongly nondegenerate

forms, 586.Hadwin, D. W., Longstaff, W. E. and Rosenthal, Peter. Small transitive lattices, 121.Hastings, Harold M. Suspensions of strong shape equivalences are ce equivalences, 743.Heiman, Barbara. Fourier coefficients of continuous functions on compact groups, 685.Henn, Hans-Werner. On almost rational co-H-spaces, 164.Higgins, P. M. The determination of all varieties consisting of absolutely closed semigroups, 419.Hohti, Aarno. On supercomplete uniform spaces, 557.Höllig, K. See de Boor, C.Horadam, K. J. The conjugacy problem for graph products with cyclic edge groups, 379.Hu, Men-chang. Note on restriction of Fourier transforms, 301.Hughes, I. and Mollin, R. Totally positive units and squares, 613.Hwang, J. S. On a generalized moment problem, 88._On the operator ranges of analytic functions, 90.Inoue, A. and Takesue, K. Spatial theory for algebras of unbounded operators. II, 295.Ito, Munehiko and Tamaño, Ken-Ichi. Spaces whose closed images are Mi, 159.Jarden, Moshe and Shelah, Saharon. Pseudo algebraically closed fields over rational function fields, 223.Jones, Peter. See Coifman, R.Jones, Roger L. New proofs for the maximal ergodic theorem and the Hardy-Littlewood maximal

theorem, 681.Junnila, Heikki. See Balogh, Zoltán.Karunakaran, V. Length of ray-images under conformai maps, 289.Katz, Daniel. A note on asymptotic prime sequences, 415.Kaufman, William E. Closed operators and pure contractions in Hubert space, 83.Ke, Hu. Distortion and coefficient estimation of schlicht functions, 487.-•Kirk, W. A. Remarks on fixed points and boundaries, 62.Kobayashi, Teiichi. Stable homotopy types of stunted real projective spaces, 555.Kosaki, Hideki. A Radon-Nikodym theorem for natural cones associated with von Neumann alge-

bras. II, 283.Kumagai, Donna. Plurisubharmonic functions associated with uniform algebras, 303.Kwack, Myung H. Meromorphic mappings into compact complex manifolds with a Grauert positive

bundle of q-forms, 699.Kwong, Man Kam and Wong, J. S. W. Nonoscillation theorems for a second order sublinear ordinary

differential equation, 467.Lane, Ernest P. Lebesgue sets and insertion of a continuous function, 539.

INDEX TO VOLUME 87 757

Lane, K. W. Another interesting property concerning the probability measures on the rationals, 717.Larson, Lee. The Baire class of approximate symmetric dérivâtes, 125.Le Donne, A. See De Marco, G.Lee, Kyung Bai. Geometric realization of a finite subgroup ofirot(M). II, 175.Le Gac, Barthélémy. Some properties of Borel subgroups of real numbers, 677.Leroux, Pierre. See Foata, Dominique.Lewin, Jonathan W. Automatic continuity of measurable group homomorphisms, 78.Lewis, Wayne. Pseudo-arcs and connectedness in homeomorphism groups, 745.Libera, Richard J. and Zlotkiewicz, Eligiusz J. Coefficient bounds for the inverse of a function with

derivative in P, 251.Liem, Vo Thanh. Triviality of simple fiber-preserving actions of ton on Hilbert-cube-fiber bundles, 549.Livingston, Charles and Melvin, Paul. Algebraic knots are algebraically dependent, 179.Llórente, Pascual and Nart, Enric. Effective determination of the decomposition of the rational primes

in a cubic field, 579.Longstaff, W. E. See Hadwin, D. W.Luecking, Daniel. A technique for characterizing Carleson measures on Bergman spaces, 656.McAuley, L. F. and Robinson, Eric E. On Newman's Theorem for finite-to-one open mappings on

manifolds, 561.Martin, John R. Neighborhood contractible spaces, 154.Mateljevic, Miodrag and Pavlovic, Miroslav. Lp -behavior of power series with positive coefficients and

Hardy spaces, 309.Maxson, C. J. and Smith, K. C. Distributively generated centraliser near-rings, 409.Meaney, Christopher. Divergent Jacobi polynomial series, 459.Melvin, Paul. See Livingston, Charles.Miwa, Takuo. Adjunction spaces of monotonically normal spaces and spaces dominated by monotonically

normal subsets, 536.Mizokami, T. On a certain class of Mi-spaces, 357.Moak, Daniel S. Fp classes and hyper geometric series, 634.Mollin, R. See Hughes, I.Montgomery, Susan. X-inner automorphisms of filtered algebras II, 569.Moore, Judy H. A characterization of Warfield groups, 617.Muhanna, Yusuf Abu. On extreme points of subordination families, 439.Nadler, Sam B., Jr. and Ward, L. E., Jr. Concerning exactly (n, 1) images of continua, 351.Nara8Ímhan, R. Hyperplanarity of the equimultiple locus, 403.Nart, Enric. See Llórente, Pascual.Negrepontis, S. See Argyros, S.Neher, Erhard. Jordan triple forms of Jordan algebras, 386.Neugebauer, C. J. Inserting Av-weights, 644.Odifreddi, Piergiorgio. On the first order theory of the arithmetical degrees, 505.Onishi, H. See Appelgate, H.Ooms, Alfons I. The center of the quotient division ring of the universal envelope of a Lie algebra, 394.O'Shea, Donal B. Finite jumps in Milnor number imply vanishing folds, 15.Pavlovic, Miroslav. See Mateljevic, Miodrag.Pengelley, David J. H'(MO(8); Z/2) is an extended A'2-coalgebra, 355.Peskin, Barbara R. On rings of invariants with rational singularities, 621.Pettey, Dix H. Locally P-closed spaces and rim P-closed spaces, 543.Przebinda, Tomasz. Holomorphicity of a class of semigroups of measures operating on LP(G/H), 637.

Querré, J. See Costa, D.Rao, Vidhyanath. Nilpotency of homotopy pushouts, 335.Redheffer, Ray and Volkmann, Peter. Schur's generalization of Hubert's inequality, 567.Ricker, W. On Boolean algebras of projections and scalar-type spectral operators, 73.Robinson, Eric E. See McAuley, L. F.Rogers, James T., Jr. Cell-like decompositions of homogeneous continua, 375.

758 INDEX TO VOLUME 87

Rosen, Michael. The norm map on Jacobians, 19.Rosenthal, Peter. See Hadwin, D. W.Rotthaus, ChriBtel. See Brodmann, Markus.Rubio de Francia, José L. See Coifman, R.Rudin, Mary Ellen. Collectionwise normality m screenable spaces, 347.Ruiz, Alberto. Lp-boundedness of a certain class of multipliers associated with curves on the plane.

I, 271._Lp-boundedness of a certain class of multipliers associated with curves on the plane. II, 277.Saint Raymond, Jean. Jeux topologiques et espaces de Namioka, 499.Santharoubane, L. J. Cohomology of Heisenberg Lie algebras, 23.Sato, Enji. On maximal ideals depending on some thin sets in M(G), 131.Schiff, J. L. Erratum to "A uniqueness theorem for superharmonic functions m Rn", 378.Schmerl, James H. Ho-categorical distributive lattices of finite breadth, 707.Seddighi, Karim. Essential spectra of operators m the class Bn(Q), 453.Shelah, Saharon. See Jarden, Moshe.Shortt, R. M. The extension of measurable functions, 444.Sieradski, Allan J. Hereditary homotopy equivalences, 149.Simons, G. E. Varieties of rings with definable principal congruences, 397.Singh, S. See Ancel, Fredric D.Sitaram, Alladi. A theorem of Cramer and Wold revisited, 714.Smital, J. A chaotic function with some extremal properties, 54.Smith, K. C. See Maxson, C. J.Smith, Larry. On the realization and classification of symmetric algebras as cohomology rings, 144.Spiegel, Eugene and Trojan, Allan. Minimal spitting fields in cyclotomic extensions, 33.Steinmetz, Norbert. On the order and lower order of entire functions with radially distributed zeros, 449.Steurich, Manfred. A characterization of unconditioned weak sequences, 189.Strano, Rosario. Principal homogeneous spaces over Hensel rings, 208.Svrtan, D. Proof of Scott's conjecture, 203.Szabó, Sándor. Rational tilings by n-dimensional crosses, 213.Sz.-Nagy, Bela and Foias, Ciprian. Contractions without cyclic vectors, 671.Szulga, Jerzy. On lattice summing operators, 258.Szwarc, Ryszard. Convolution operators of weak type (2, 2) which are not of strong type (2, 2), 695.Takesue, M. See Inoue, A.Tamaño, Ken-Ichi. See Itö, Munehiko.Tanahashi, Kôtarô. Reductive weak decomposable operators are spectral, 44.Thron, W. J. and Valent, R. A. A class of maximal ideals in the lattice of topologies, 330.Trench, William F. Systems of differential equations subject to mild integral conditions, 263.Trojan, Allan. See Spiegel, Eugene.Tsui, Sze-Kai. See Choi, Man-Duen.

Uspenskil, Vladimir V. For any X, the product X xY is homogeneous for some Y, 187.Valant, R. A. See Thron, W. J.Vermeer, J. Embeddmgs tn minimal Hausdorff spaces, 533.Volkmann, Peter. See Redheffer, Ray.Wade, William R. Walsh-Fourier coefficients and locally constant functions, 434.Walker, Russell B. Oriented toral knot lattices, 181.Wang, Kai. Fixed subalgebra of a Frobenius algebra, 576.Ward, L. E., Jr. See Nadler, Sam B., Jr.Wilson, R. G. See De Marco, G.Wong, J. S. W. See Kwong, Man Kam.Yanik, Joe. Nontnvertible retracts, 29.Zayed, Ahmed I. Recoverabiltty of some classes of analytic functions from their boundary values, 493.Zlotkiewicz, Eligiusz J. See Libera, Richard J.

/ TPHTOÏ MH \V

3LUN (( I^Wï ))S

PROCEEDINGSJL OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYThomas H. BrylawskiJeff CheegerDoug CurtisWilliam J. DavisBert E. FristedtRichard R. Goldberg, Managing EditorDavid M. GoldschmidtLarry J. GoldsteinThomas J. JechW. E. KirwanDavid J. LutzerCatherine L. OlsenDonald PassmanDonald SarasonReinhard E. SchultzGeorge R. SellJ. Jerry Uhl, Jr.William C. Waterhouse

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

Proceedings of the American Mathematical SocietyThis journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 120-122 (1994) are $579 list; $463institutional member; $347 individual member. A late charge of 10% of the subscrip-tion price will be imposed upon orders received from nonmembers after January 1 of thesubscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expediteddelivery to destinations in North America—$38; elsewhere—$90.

Back number information. For back issues see the AMS Catalog of Publications.

Subscriptions and orders should be addressed to the American Mathematical Society,P. O. Box 5904, Boston, MA 02206-5904. All orders must be accompanied by payment.Other correspondence should be addressed to P. O. Box 6248, Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit librariesacting for them, are permitted to make fair use of the material, such as to copy an articlefor use in teaching or research. Permission is granted to quote brief passages from thispublication in reviews provided the customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in thispublication (including abstracts) is permitted only under license from the AmericanMathematical Society. Requests for such permission should be addressed to the Man-ager of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence,RI 02940-6248. Requests can also be made by e-mail to reprint-permissionSmath.ams.org.

The appearance of the code on the first page of an article in this journal indicates thecopyright owner's consent for copying beyond that permitted by Sections 107 or 108 ofthe U.S. Copyright Law, provided that a fee of $1.00 plus $.25 per page for each copybe paid directly to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers,MA 01923. This consent does not extend to other kinds of copying, such as copying forgeneral distribution, for advertising or promotion purposes, for creating new collectiveworks, or for resale.

Proceedings of the American Mathematical Society is published monthly by the Amer-ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-class postage is paid at Providence, Rhode Island. Postmaster: Send address changes toProceedings, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248.

© Copyright 1983 by the American Mathematical Society. All rights reserved.Printed in the United States of America.

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

10 9 8 7 6 5 4 3 2 99 98 97 96 95 94

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETYCONTENTS

Vol. 87, No. 1 January 1983 Whole No. 283A. ALGEBRA AND NUMBER THEORY

Order and dimension. By RICHARD M. COHN. IAn analytic characterization of groups with no finite conjugacy classes. By K. R. COWIF.. 7On productive classes of function rings. By PAUL BANKSTON. IIFinite jumps in Milnor number imply vanishing folds. By DONAL B. O'SHEA. 15The norm map on Jacobians. By MICHAEL ROSEN. 19Cohomology of Heisenberg Lie algebras. By L. J. SANTHAROUBANE. 23Noninvertible retracts. By JOE YANIK. 29Minimal splitting fields in cyclotomic extensions. By EUGENE SPIEGEL and ALLAN TROJAN 33Relative normal complements in finite groups. By PAMELA A. FERGUSON. 38On the distribution of prime elements in polynomial Krull domains. By D. COSTA. L. GAL-

LARDO and J. QUERRÉ. 41B. ANALYSIS

Reductive weak decomposable operators are spectral. By KOTARO TANAHASH1. 44Polynômes de Jacobi, interprétation combinatoire et fonction génératrice. By DOMINIQUE

FOATA and PIERRE LEROUX. 47A chaotic function with some extremal properties. By J. SMITAL . 54Tracial positive linear maps of C" algebras. By MAN DUF.N CHOI and SZE KAI TSUI. 57Remarks on fixed points and boundaries. By W. A. KIRK. 62Metric invariance of Haar measure. By CHRISTOPH BANDT. 65Stokes* theorem and parabolicity of Riemannian manifolds. By MOSES GLASNER. 70On Boolean algebras of projections and scalar-type spectral operators. By W. R1CKER. 73Automatic continuity of measurable group homomorphisms. By JONATHAN W. LF.W1N. 78Closed operators and pure contractions in Hilbert space. By WILLIAM E. KAUFMAN. 83On a generalized moment problem. By J. S. HWANG. 88On the operator ranges of analytic functions. By J. S. FfWANG. 90A note on separating families of representations. By BRUCE A. BARNES. 95Symmetric continuity of real functions. By C. L. BELNA. 99A converse to the Lusin-Privalov radial uniqueness theorem. By ROBERT D. BERMAN. 103Closable operators and semigroups. Uy NEIL FALKNER. 107Entropy for smooth abelian actions. By DAVID FRIED. I 1 1A note on neighbourhoods of univalent functions. By RICHARD F"OURNIER. 117Small transitive lattices. By D. W. HADW1N, W. E. LONGSTAFF and PETER ROSENTHAL. 121The Uairc class of approximate symmetric dérivâtes. By LEE LARSON. 125On maximal ideals depending on some thin sets in M(C). By F)NJI SATO. 131

C. APPLIED MATHEMATICSCreen's functions coupled to self dual Maxwell fields. By MATTHEW L. GINSBERG. 137

G. TOPOLOGYOn the realization and classification of symmetric algebras as cohomology rings. By LARRY

SMITH. 144Hereditary homotopy equivalences. By ALLAN J. SIERADSKI. 149Neighborhood contractible spaces. By JOHN R. MARTIN. 154Spaces whose closed images are Af,. By MUNEHIKO ITÖ and KEN-ICHI TAMAÑO. 159On almost rational co-M-spaces. By HANS-WERNER HENN. 164A cycle is the fundamental class of an Euler space. By R. BENEDETTI and M. DEDO. 169Geometric realization of a finite subgroup of jrne(Af). II. By KYUNG BAI LEE. 175Algebraic knots are algebraically dependent. By CHARLES LIVINGSTON and PAUL MELVIN... 179

H. COMBINATORICSOriented toral knot lattices. By RUSSELL B. WALKER. 181

SHORTER NOTESFor any X, the product A" x Y is homogeneous for some Y. By VLADIMIR V. USPENSKIÎ. 187

Vol. 87, No. 2 February 1983 Whole No. 284

A. ALGEBRA AND NUMBER THEORY

A characterization of unconditioned weak sequences. By MANFRED STEURICH. 189Remark on the simplicial-cosimplicial tensor product. By RUDOLF FRITSCH. 200Proof of Scott's conjecture. By D. SVRTAN. 203Principal homogeneous spaces over Hensel rings. By ROSARIO STRANO. 208

Rational tilings by n-dimensional crosses. By SÁNDOR SZABÓ. 213Pseudo algebraically closed fields over rational function fields. By MOSHE JARDEN and

SAHARON SHELAH. 223On the uniqueness of generalized matrix functions. By L. B. BEASLEY and

L. J. CUMMINGS. 229Similarity problem over SL(n,Zp). By H. APPELGATE and H. ON1SHI . 233

B. ANALYSIS

Rough and strongly rough norms on Banach spaces. By G. GODINI. 239Completeness and the contraction principle. By J. M. BORWEIN. 246Coefficient boundB for the inverse of a function with derivative in P. By RICHARD J.

LIBERA and ELIGIUSZ J. ZLOTKTEWICZ. 251On lattice summing operators. By JERZY SZULGA. 258Systems of differential equations subject to mild integral conditions. By WILLIAM F.

TRENCH. 263Lp-boundedne88 of a certain class of multipliers associated with curves on the plane. 1. By

ALBERTO RUIZ. 271Lp-boundedness of a certain class of multipliera associated with curves on the plane. D.

By ALBERTO RUIZ. 277A Radon-Nikodym theorem for natural cones associated with von Neumann algebras. II.

By HTDErCI KOSAKI. 283Length of ray-images under conformai maps. By V. KARUNAKARAN. 289Spatial theory for algebras of unbounded operators. U. By A. INOUE and

K. TAKESUE. 295Note on restriction of Fourier transforms. By MEN-CHANG HU. 301Plurisubharmonic functions associated with uniform algebras. By DONNA KUMAGAI. 303L'-behavior of power series with positive coefficients and Hardy spaces. By MIODRAG

MATELJEVIC and MIROSLAV PAVLOVIC. 309On stability of unitary matrix spaces. By JONATHAN ARAZY. 317

D. GEOMETRY

On the spectrum of towers. By HAROLD DONNELLY. 322

G. TOPOLOGYA class of maximal ideals in the lattice of topologies. By W. J. THRON and R. A.

VALENT. 330Nilpotency of homotopy pushouts. By VTDHYANATH RAO. 335Rigid finite dimensional compacta whose squares are manifolds. By FREDRIC D.

ANCEL and S. SINGH. 342Collectionwise normality in screenable spaces. By MARY ELLEN RUDIN. 347Concerning exactly (n, 1) images of continua. By SAM B. NADLER, JR. and L. E. WARD,

JR. 351H'{MO(8), Z/2) is an extended A\ -coalgebra. By DAVID J. PENGELLEY. 355On a certain class of Mi-spaces. By T. MIZOKAMI. 357On the relative de Rham sequence. By N. BUCHDAHL. 363On the Adams conjecture. By I. DIBAG . 367Cell-like decompositions of homogeneous continua. By JAMES T. ROGERS, JR. 375Erratum to "A uniqueness theorem for superharmonic functions in R"". By J. L.

SCHIFF. 378

Vol. 87, No. 3 March 1983 Whole No. 285

A. ALGEBRA AND NUMBER THEORY

The conjugacy problem for graph products with cyclic edge groups. By K. J. HORADA M . 379Jordan triple forms of Jordan algebras. By ERHARD Neher. 386The octic period polynomial. By RONALD J. EVANS . 389The center of the quotient division ring of the universal envelope of a Lie algebra. By

ALFONS I. OOMS. 394Varieties of rings with definable principal congruences. By G. E. Simons. 397Hyperplanarity of the equimultiple locus. By R. Narasimhan. 403Distributively generated centralizer near-rings. By C. J. MAXSON and K. C. SMITH. 409A note on asymptotic prime sequences. By DANIEL KATZ. 115The determination of all varieties consisting of absolutely closed semigroups. By P. M.

HlGGINS. 419

B. ANALYSIS

An extrapolation theorem in the theory of Ap weights. By JOSE GARCÍA-CUERVA. 422Lebesgue constants for Jacobi expansions. By DONALD I. CaRTWRIGHT. 427Walsh-Fourier coefficients and locally constant functions. By WILLIAM R. WADE. 434On extreme points of subordination families. By YUSUF ABU MlIHANNA. 439The extension of measurable functions. By R. M. SHORTT. 444A note on weighted norm inequalities for the Hardy-Lit.tlewood maximal operator. By

Michael Christ and Robert Fëfferman. 447On the order and lower order of entire functions with radially distributed zeros. By NOR-

BERT Steinmetz. 449Essential spectra of operators in the class 8„(n). By KARIM Seddighi. 453Divergent Jacobi polynomial series. By CHRISTOPHER MEANEY . 459On inequalities of periodic functions and their derivatives. By Z DlTZIAN . 463Nonoscillation theorems for a second order sublinear ordinary differential equation By

Man Kam Kwong and J. S. W. Wong. 467Approximating the absolutely continuous measures invariant under general maps of the

interval. By ABRAHAM BOYARSKY. 475On Gronwall and Wendroff type inequalities. By J. Abramowich. 481Distortion and coefficient estimation of schlicht functions. By Hu KE. 487Recoverability of some classes of analytic functions from their boundary values. By AH-

MED I. ZAYED. 493

C. APPLIED MATHEMATICS

Jeux topologiques et espaces de Namioka. By JEAN SAINT RAYMOND. 499

E. LOGIC AND FOUNDATIONS

On the first order theory of the arithmetical degrees. By Piergiorgio Odifreddi. 505

F. STATISTICS AND PROBABILITY

¡7-probability distributions via an extension of the Bernoulli process. By PHILIP FEIN-SILVER . 508

G. TOPOLOGY

Periodic points and topological entropy of maps of the circle. By Chris BERNHARDT_ 516Totally analytic spaces under V = L. By ZOLTÁN BALOGH and HEIKKI JUNNILA . 519The Â-genus of complex hypersurfaces and complete intersections. By ROBERT BROOKS. 528Embeddings in minimal Hausdorff spaces. By J. VERMEER. 533Adjunction spaces of monotonically normal spaces and spaces dominated by monotonically

normal subsets. By TAKUO MlWA . 536Lebesgue sets and insertion of a continuous function. By ERNEST P. Lane. 539

Locally P-closed spaces and rim P-closed spaces. By DIX H. PETTEY. 543Triviality of simple fiber-preserving actions of tori on Hilbert^cube-fiber bundles. By VO

Thanh Liem. 549Stable homotopy types of stunted real projective spaces. By TEIICHI KOBAYASHI. 555On supercomplete uniform spaces. By AARNO HOHTI. 557On Newman's Theorem for finite-to-one open mappings on manifolds. By L. F. McAULEY

and ERIC E. ROBINSON.•. 561

SHORTER NOTES

Schur's generalization of Hubert's inequality. By RAY REDHEFFER and PETER VOLK-MANN . 5G7

Vol. 87, No. 4 April 1983 Whole No. 286A. ALGEBRA AND NUMBER THEORY

A'-inner automorphisms of filtered algebras. II. By SUSAN MONTGOMERY . 569Fixed subalgebra of a Frobenuis algebra. By KA1 WANG. 576Effective determination of the decomposition of the rational primes in a cubic field. By

PASCUAL LLÓRENTE and ENRIC NART. 579Numbers of solutions of congruences: Poincaré series for strongly nondegenerate forms By

JAY R. GOLDMAN..'.. 586A not» on the Cohen-Macaulay type of lines in uniform position in A" 4 '. By WILLIAM

C. BROWN. 591A peculiar unmixed domain. By CHRISTEL ROTTHAUS and MARKUS BRODMANN. 596A simple construction for rigid and weakly homogeneous Boolean algebras answering a

question of Rubin. By GARY BRENNER. 601Conservative and divergence free algebraic vector fields. By E. CONNELL and J. DROST 607Totally positive units and squares. By I. HUGHES and R. MOLL1N. 613A characterization of Warficld groups. By JUDY H. MOORE. 617On rings of invariants with rational singularities. By BARBARA R. PESK1N. 621

B. ANALYSISUniform cr-additivity in spaces of Bochner or Pettis integrable functions over a locally com-

pact group. By N1COLAE DINCULEANU. 627Fp classes and hypergeometric series. By DANIEL S. MOAK. 634Holomorphicity of a class of semigroups of measures operating on LP(G/H). By TOMASZ

PRZEBINDA. 637Inserting Ap-weights. By C. J. NEUGEBAUER. 644Approximation order from bivariate C'-cubics: A counterexample. By C. DE BOOR and

K. HÖLLIG. 649A technique for characterizing Carleson measures on Bergman spaces. By DANIEL

LUECKING. 656On Sturmian theory for second order systems. By SHAIR AHMAD. 661AnalternatevariationalprincipleforAu-u+lur-1 sgnu = 0. By CHARLES V. COFFMAN 666Contractions without cyclic vectors. By BELA SZ.-NAGY and CTPRLAN FOIAS. 671Constructive decomposition of BMO functions and factorization of Ap weights. By

R. COIFMAN, PETER W. JONES and JOSÉ L. RUBIO DE FRANCIA. 675Some properties of Borel subgroups of real numbers. By BARTHÉLÉMY LE GAC. 677New proofs for the maximal ergodic theorem and the Hardy-Littlewood maximal theorem.

By ROGER L. JONES. 681Fourier coefficients of continuous functions on compact groups. By BARBARA HETMÁN. 685One-to-one operators on function spaces. By STEPHEN T. L. CHOY. 691Convolution operators of weak type (2,2) which are not of strong type (2,2). By RYSZARD

SZWARC. 695Meromorphic mappings into compact complex manifolds with a Grauert positive bundle of

ç-forms. By MYUNG H. KWACK. 699

E. LOGIC AND FOUNDATIONSA short proof of two recently discovered independence results using recursion theoretic

methods. By E. A. CTCHON. 704No-categorical distributive lattice« of finite breadth. By JAMES H. SCHMERL. 707

F. STATISTICS AND PROBABILITYA theorem of Cramer and Wold revisited. By ALLADI SITARAM. 714Another interesting property concerning the probability measures on the rational«. By K. W.

LANE. 717

G. TOPOLOGY

The chain recurrent set for maps or the interval. By LOUIS BLOCK and JOHN E.FRANKE. 723

Elementary abelian 2-groups that act freely on products of real projective spaces. By LARRYW. CUSICK. 728

On weakly K-countably determined spaces of continuous functions. By S. ARGYROS andS. NEGREPONTIS. 731

Compact dispersed spaces and the a-left property. By G. DE MARCO, A. LE DONNE andR. G. WILSON. 737

Suspensions of strong shape equivalences are ce equivalences. By HAROLD M. HASTINGS 744

Pseudo-arcs and connectedness in homeomorphism groups. By WAYNE LEWIS. 745

Fibrations that are cofibrations. By JUAN M. ALONSO. 749

Index to Volume 87. 755

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