VOLUME 42 I mfffi b 1974

PROCEEDINGS-A. OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYFred Brauer

Glen E. BredonW. Wistar ComfortJacob FeldmanRobert M. Fossum

Richard R. GoldbergBarbara L. Osofsky

With the Cooperation ofNorman BlackburnLouis BrickmanThomas A. ChapmanRonald G. DouglasPeter L. Duren

Peter A. Fillmore

Jay R. GoldmanRichard A. HuntJames D. KuelbsRobert I. SoareJoseph A. Wolf

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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS*

Vol. 42, No. 1 Whole No. 175 January 1974

Page

A. Algebra and Number Theory

On the join of subnormal subgroups. By A. J. van Werkhooven. iGraphs with 1-factors. By David P. Sumner. 8On torsion abelian groups quasi-projective over their endomorphism rings. By

Laszlo Fuchs. 13A lifting theorem for formal power series. By Edward A. Bender. 16Higher derivations on finitely generated integral domains. By W. C. Brown ... 23Pseudo-matchings of a bipartite graph. By Alan Brace and D. E. Daykin. 28The poset of skew fields generated by a free algebra. By James L. Fisher. 33On integrated screens. By J. C. Beidleman. 36The ¿/„-problem for groups with certain central factors cyclic. By Joseph A.

Galuan. 39A countably distributive complete Boolean algebra not uncountably représentante.

By John Gregory. 42Cohomology, maximal ideals, and point evaluations. By Alexander Nagel_ 47A theorem of Hurwitz and Radon and orthogonal projective modules. By A. V.

Geramita and N. J. Pullman . 51Injective objects in the category of/»-rings. By David C. Hatnes. 57Weighted representations of a primitive algebra. By E. G. Goodaire. 61/i-Gorenstein rings. By Hans-Bjorn Foxby . 67

Unique factorization in graded power series rings. By Peter S. Landweber_ 73The first derived equaliser of a pair of abelian group homomorphisms. By Tim

Porter . 77Problem 26 of L. Fuchs. By Chin-Shui Hsü. 81

B. Analysis

Derivations of A If*-algebras. By James C. Deel . 85Mutual existence of product integrals. By Jon C. Helton . 96

Functions with a concave modulus of continuity. By H. E. White, Jr. 104

On the absolute summability of the allied integral by a functional Nörlund method.

By Shiva Narain Lal. 113

A simple alternative problem for finding periodic solutions of second order ordi-

nary differential systems. By J. W. Bebernes. 121

Two lifting theorems. By Stuart P. Lloyd. 128

On the Marx conjecture for the convex hulls of families of starlike and convex

mappings. By David J. Hallenbeck. 135

The problem of eigenvalues in some singular homogeneous Volterra integral equa-tions. By Ll. G. Chambers. 140

Solution of a nonlinear partial differential equation with initial conditions. By

James L. Reíd and W. M. Pritchard. 143

On restricted weak type (1,1). By K. H. Moon . . 148

Two radius of convexity problems. By Carl P. McCarty. 153

A note on periodic solutions for delay-differential systems. By G. B. Gustafson

and K. Schmitt. 161

Holomorphic solutions of functional differential systems near singular points. By

L. J. Grimm and L. M. Hall. 167

Prime ideals in uniform algebras. By William E. Dietrich, Jr. 171

Countable interpolation sets and the Gleason metric. By D. M. Oberun . 175

Nonlinear integral equations in a measure space. By P. C Das. 181

Comparison theorems for special classes of nonselfadjoint elliptic equations. By

Kurt Kreith. 186Topological algebras with a given dual. By Ajit Kaur Chilana. 192

* The volume index will contain a mapping showing the correspondence between

sections A-G and the AMS (MOS) subject classification numbers.

Absolute continuity of eigenvectors of time-varying operators. By Andrew F.Acker.'. 198

On extensions of an inequality among means. By F. Chan, D. Goldberg and S.Gonek. 202

An example of a local flow on a manifold. By Denis L. Blackmore . 208A characterization of the nondifferentiabiiity set of the Cantor function. By J. A.

Eidswick . 214Translation invariant sigma algebras on groups. By D. A. Lind . 218Area of Bernstein-type polynomials. By Martin E. Price . 222The density character of function spaces. By N. Noble. 228Fixed points of certain self maps on an interval. By Chi Song Wong . 234On separability in linear topological spaces. By Robert H. Lohman and Wilbur

J. Stiles. 236On two theorems of Paley. By N. M. Riviere and Y. Sagher. 238Operators with powers essentially similar to those of their adjoints. By S. M.

Patel.1. 243

C. Applied Mathematics

The M.H.D. version of a theorem of H. Weyl. By Charles C. Conley and JoelA. Smoller. 248

Monotonicity of quadrature approximations. By D. J. Newman. 251Open maps of chainable continua. By Ira Rosenholtz . 258

D. Geometry

The volume of a region defined by polynomial inequalities. By O. S. Rothaus. . 265The orthogonal invariants of a curve in Hubert space. By F. Alberto Grünbaum 268Local holonomy groups of induced conncections. By Mu-Chou Liu . 272

E. Logic and Foundations

Combinatorial characterization of supercompact cardinals. By M. Magidor ... 279The undecidability of theories of groupoids with an extra predictate. By Solomon

Garfunkel and James H. Schmerl. 286

G. Topology

Categories of H-spaces. By Pierre J. Malraison, Jr. 290Continuity of certain connected functions and multifunctions. By Melvtn R.

Hagan. 295Uniform convergence for a hyperspace. By R. J. Gazk. 302A note on zero-dimensional spaces with the star-finite property. By Hans-

Christian Reichel. 307Closed images of the Wallman compactification. By Douglas Harris. 312Regular neighbourhoods and topological manifolds. By Glenn P. Weller. 320A note on groups with relatively compact conjugacy classes. By Theodore W.

Wilcox. 326

Shorter Notes

A note on analytic measures. By Paul S. Muhly. 330

Vol. 42, No. 2 Whole No. 176 February 1974

Page

A. Algebra and Number Theory

A note on a lemma of Zariski and higher derivations. By Wei-Eihn Kuan. 333Éléments nilpotents et diviseurs de zéro dans les algebres larges. By Khyra

Lameche-Gérardin . 341Borel measurability in linear algebra. By Edward A. Azoff. 346A note on matrix solutions to A=XY— YX. By Charles R. Johnson. 351Regular and Baer rings. By K. M. Rangaswamy. 354Grushko-like theorems for a class of finitely presented semigroups. By Ann

Yasuhara. 359Commutative QF-1 rings. By Claus Michael Ringel . 365

Invariant traces on algebras. By Guido Karrer. 369Alternative rings without nilpotent elements. By Irvin Roy Hentzel . 373The normality of certain subgroups of elementary subgroups of Steinberg groups

over rings. By James F. Hurley. 377On relative JJ-normalizers in finite solvable groups. By Patrick D'Arcy . 381A short proof of van der Waerden's theorem on arithmetic progressions. By R. L.

Graham and B. L. Rothschild. 385Every finitely generated Fischer group is finite. By Theodore S. Bolis . 387

B. Analysis

Monotone and comonotone approximation. By E. Passow and L. Raymon_ 390Pointwise bounds on eigenfunctions and wave packets in /V-body quantum

systems. I. By Barry Simon . 395An interpolation problem for coefficients of Hv> functions. By John J. F.

Fournier . 402Generalized contractions and fixed point theorems. By Chi Song Wong. 409On the radial and nontangential maximal functions for the disc. By Richard L.

Wheeden . 418

Generalized summing sequences and the mean ergodic theorem. By Julius Blumand Bennett Eisenberg. 423

Rational approximation of extremal length for doubly connected domains. ByC Wayne Mastín . 430

Tensor product mappings. II. By J. R. Holub . 437

Positive contractions on ¿,-spaces. By Ryotaro Sato. 442 •

The #-Borel transform. By Frank M. Cholewinski and Deborah Tepper

Haimo. 445

A generalization of strong Rieszian summability. By L. I. Holder. 452

Extreme functionals on an upper semicontinuous function space. By F.

Cunningham, Jr. and Nina M. Roy . 461

On the radius of starlikeness of certain analytic functions. By Hassoon S.

Al-Amiri . 466

Subnormal weighted shifts and asymptotic properties of normal operators. By

J. J. Bastian and K. J. Harrison . 475

The discreteness of the spectrum of selfadjoint, even order, one-term, differentialoperators. By Roger T. Lewis. 480

Some results on the radial projection in Banach spaces. By R. L. Thele. 483

The first initial-boundary value problem for some nonlinear time degenerate

parabolic equations. By Margaret C. Waid. 4"7

A stability theorem for a real analytic singular Cauchy problem. By W. J.Walker . 495

Multipliers for /,-algebras with approximate identities. By Charles D. Lahr ... 501Commutation properties of the coefficient matrix in the differential equation of an

inner function. By Stephen L. Campbell. 507Best uniform approximation by meromorphic functions with free poles. By S. J.

Poreda. 513A characterization of /-/ matrices. By L. W. Baric. 517

Support points of the set of univalent functions. By Louis Brickman and Donald

Wilken. 523An extension theorem for H* functions. By Joseph A. Cima . 529\(p) sets and the exact majorant property. By Samuel E. Ebenstein. 533Some inequalities related to the Hausdorff-Young theorem. By W. T. Sledd ... 535

A note on monomials in several complex variables. By G. G. Weill. 541Continuity of maximal monotone sets in Banach space. By R. E. Show alter ... 543A note on divergence-like 2-point boundary value problems. By M. Joshi . 547

Factorable bounded operators and Schwartz spaces. By Stephen F. Bellenot .. 551Meromorphic continuation of the y-matrix for the operator —A acting in a

cylinder. By Charles I. Goldstein . 555The kth conjugate point function for an even order linear differential equation. By

George W. Johnson. 563On the integrability of power series. By Prabha Jain . 569

Asymptotics of Stirling numbers of the second kind. By W. E. Bleick and Peter

C. C. Wang. 575On the continuity of functions in W\ which are monotonie in one direction. By

Casper Goffman . 581

A counterexample in the classification of open Riemann surfaces. By Young K.

Kwon. 583

G. Topology

Cartesian products of metric Baire spaces. By M. R. Krom. 588Non-n-mutually aposyndetic continua. By Leland E. Rogers. 595A remark on finite dimensional compact connected monoids. By L. W.

Anderson and R. P. Hunter. 602Zero-dimensional compact associative distributive universal algebras. By Tae Ho

Choe. 607Shm maps and conjugation. By Ming-Jung Lee. 614On the first cohomology group of discrete groups with property (T). By S. P.

Wang ..'. 621A note on the homeomorphism group of the rational numbers. By Wayne R.

Park. 625Small neighborhoods of the identity of a real nilpotent group. By L. P. Polek .. 627Foliations transverse to fibers of a bundle. By J. F. Plante. 631

Shorter Notes

Necessary and sufficient conditions for Carlson's theorem for entire functions.By R. C. Buck . 636

Profinite groups are Galois groups. By William C. Waterhouse. 639Continued fractions and equivalent complex numbers. By Richard B. Lakein ... 641A short proof of Fan's fixed point theorem. Frode Terkélsen. 643Erratum to "Irregular invariant measures related to Haar measure". By H. L.

Peterson. 645Erratum to "Symmetry of generalized group algebras". By K. B. Laursen. 646Erratum to

"A set-theoretic proposition implying the metrizability of normal

Moore spaces". By Franklin D. Tall. 647Erratum to "An extremal problem for functions with positive real part". By R. S.

Gupta. 647Erratum to "Homotopy for functors". By Ming-Jung Lee. 648

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'

0002-9939(197401/02)42:1/2; 1-1