Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 42, Number 2
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A note on a lemma of Zariski and higher derivations: Wei Eihn Kuan; Proc. Amer. Math. Soc. 42 (1974), 333-340; DOI: https://doi.org/10.1090/S0002-9939-1974-0332754-1; PDF

Éléments nilpotents et diviseurs de zéro dans les algèbres larges: Khyra Lamèche-Gérardin; Proc. Amer. Math. Soc. 42 (1974), 341-345; DOI: https://doi.org/10.1090/S0002-9939-1974-0327758-9; PDF

Borel measurability in linear algebra: Edward A. Azoff; Proc. Amer. Math. Soc. 42 (1974), 346-350; DOI: https://doi.org/10.1090/S0002-9939-1974-0327799-1; PDF

A note on matrix solutions to $A=XY-YX$: Charles R. Johnson; Proc. Amer. Math. Soc. 42 (1974), 351-353; DOI: https://doi.org/10.1090/S0002-9939-1974-0332826-1; PDF

Regular and Baer rings: K. M. Rangaswamy; Proc. Amer. Math. Soc. 42 (1974), 354-358; DOI: https://doi.org/10.1090/S0002-9939-1974-0340326-8; PDF

Grushko-like theorems for a class of finitely presented semigroups: Ann Yasuhara; Proc. Amer. Math. Soc. 42 (1974), 359-364; DOI: https://doi.org/10.1090/S0002-9939-1974-0335665-0; PDF

Commutative $\textrm {QF}-1$ rings: Claus Michael Ringel; Proc. Amer. Math. Soc. 42 (1974), 365-368; DOI: https://doi.org/10.1090/S0002-9939-1974-0344283-X; PDF

Invariant traces on algebras: Guido Karrer; Proc. Amer. Math. Soc. 42 (1974), 369-372; DOI: https://doi.org/10.1090/S0002-9939-1974-0327838-8; PDF

Alternative rings without nilpotent elements: Irvin Roy Hentzel; Proc. Amer. Math. Soc. 42 (1974), 373-376; DOI: https://doi.org/10.1090/S0002-9939-1974-0327858-3; PDF

The normality of certain subgroups of elementary subgroups of Steinberg groups over rings: James F. Hurley; Proc. Amer. Math. Soc. 42 (1974), 377-380; DOI: https://doi.org/10.1090/S0002-9939-1974-0330313-8; PDF

On relative $\mathfrak {F}$-normalizers in finite solvable groups: Patrick D’Arcy; Proc. Amer. Math. Soc. 42 (1974), 381-384; DOI: https://doi.org/10.1090/S0002-9939-1974-0332956-4; PDF

A short proof of van der Waerden’s theorem on arithmetic progressions: R. L. Graham and B. L. Rothschild; Proc. Amer. Math. Soc. 42 (1974), 385-386; DOI: https://doi.org/10.1090/S0002-9939-1974-0329917-8; PDF

Every finitely generated Fischer group is finite: Theodore S. Bolis; Proc. Amer. Math. Soc. 42 (1974), 387-389; DOI: https://doi.org/10.1090/S0002-9939-1974-0338183-9; PDF

Monotone and comonotone approximation: E. Passow and L. Raymon; Proc. Amer. Math. Soc. 42 (1974), 390-394; DOI: https://doi.org/10.1090/S0002-9939-1974-0336176-9; PDF

Pointwise bounds on eigenfunctions and wave packets in $N$-body quantum systems. I: Barry Simon; Proc. Amer. Math. Soc. 42 (1974), 395-401; DOI: https://doi.org/10.1090/S0002-9939-1974-0417596-0; PDF

An interpolation problem for coefficients of $H^{\infty }$ functions: John J. F. Fournier; Proc. Amer. Math. Soc. 42 (1974), 402-408; DOI: https://doi.org/10.1090/S0002-9939-1974-0330469-7; PDF

Generalized contractions and fixed point theorems: Chi Song Wong; Proc. Amer. Math. Soc. 42 (1974), 409-417; DOI: https://doi.org/10.1090/S0002-9939-1974-0331358-4; PDF

On the radial and nontangential maximal functions for the disc: Richard L. Wheeden; Proc. Amer. Math. Soc. 42 (1974), 418-422; DOI: https://doi.org/10.1090/S0002-9939-1974-0333194-1; PDF

Generalized summing sequences and the mean ergodic theorem: Julius Blum and Bennett Eisenberg; Proc. Amer. Math. Soc. 42 (1974), 423-429; DOI: https://doi.org/10.1090/S0002-9939-1974-0330412-0; PDF

Rational approximation of extremal length for doubly connected domains: C. Wayne Mastin; Proc. Amer. Math. Soc. 42 (1974), 430-436; DOI: https://doi.org/10.1090/S0002-9939-1974-0328060-1; PDF

Tensor product mappings. II: J. R. Holub; Proc. Amer. Math. Soc. 42 (1974), 437-441; DOI: https://doi.org/10.1090/S0002-9939-1974-0331104-4; PDF

Positive contractions on $L_{1}$-spaces: Ryōtarō Satō; Proc. Amer. Math. Soc. 42 (1974), 442-444; DOI: https://doi.org/10.1090/S0002-9939-1974-0390806-4; PDF

The $\mathcal {C}$-Borel transform: Frank M. Cholewinski and Deborah Tepper Haimo; Proc. Amer. Math. Soc. 42 (1974), 445-451; DOI: https://doi.org/10.1090/S0002-9939-1974-0330946-9; PDF

A generalization of strong Rieszian summability: L. I. Holder; Proc. Amer. Math. Soc. 42 (1974), 452-460; DOI: https://doi.org/10.1090/S0002-9939-1974-0348328-2; PDF

Extreme functionals on an upper semicontinuous function space: F. Cunningham and Nina M. Roy; Proc. Amer. Math. Soc. 42 (1974), 461-465; DOI: https://doi.org/10.1090/S0002-9939-1974-0328579-3; PDF

On the radius of starlikeness of certain analytic functions: Hassoon S. Al-Amiri; Proc. Amer. Math. Soc. 42 (1974), 466-474; DOI: https://doi.org/10.1090/S0002-9939-1974-0330431-4; PDF

Subnormal weighted shifts and asymptotic properties of normal operators: J. J. Bastian and K. J. Harrison; Proc. Amer. Math. Soc. 42 (1974), 475-479; DOI: https://doi.org/10.1090/S0002-9939-1974-0380491-X; PDF

The discreteness of the spectrum of self-adjoint, even order, one-term, differential operators: Roger T. Lewis; Proc. Amer. Math. Soc. 42 (1974), 480-482; DOI: https://doi.org/10.1090/S0002-9939-1974-0330608-8; PDF

Some results on the radial projection in Banach spaces: R. L. Thele; Proc. Amer. Math. Soc. 42 (1974), 483-486; DOI: https://doi.org/10.1090/S0002-9939-1974-0328550-1; PDF

The first initial-boundary value problem for some nonlinear time degenerate parabolic equations: Margaret C. Waid; Proc. Amer. Math. Soc. 42 (1974), 487-494; DOI: https://doi.org/10.1090/S0002-9939-1974-0336083-1; PDF

A stability theorem for a real analytic singular Cauchy problem: W. J. Walker; Proc. Amer. Math. Soc. 42 (1974), 495-500; DOI: https://doi.org/10.1090/S0002-9939-1974-0342877-9; PDF

Multipliers for $l_{1}$-algebras with approximate identities: Charles D. Lahr; Proc. Amer. Math. Soc. 42 (1974), 501-506; DOI: https://doi.org/10.1090/S0002-9939-1974-0330922-6; PDF

Commutation properties of the coefficient matrix in the differential equation of an inner function: Stephen L. Campbell; Proc. Amer. Math. Soc. 42 (1974), 507-512; DOI: https://doi.org/10.1090/S0002-9939-1974-0348539-6; PDF

Best uniform approximation by meromorphic functions with free poles: S. J. Poreda; Proc. Amer. Math. Soc. 42 (1974), 513-516; DOI: https://doi.org/10.1090/S0002-9939-1974-0333198-9; PDF

A characterization of $1-1$ matrices: L. W. Baric; Proc. Amer. Math. Soc. 42 (1974), 517-522; DOI: https://doi.org/10.1090/S0002-9939-1974-0342902-5; PDF

Support points of the set of univalent functions: Louis Brickman and Donald Wilken; Proc. Amer. Math. Soc. 42 (1974), 523-528; DOI: https://doi.org/10.1090/S0002-9939-1974-0328057-1; PDF

An extension theorem for $H^{p}$ functions: Joseph A. Cima; Proc. Amer. Math. Soc. 42 (1974), 529-532; DOI: https://doi.org/10.1090/S0002-9939-1974-0326003-8; PDF

$\Lambda (p)$ sets and the exact majorant property: Samuel E. Ebenstein; Proc. Amer. Math. Soc. 42 (1974), 533-534; DOI: https://doi.org/10.1090/S0002-9939-1974-0333592-6; PDF

Some inequalities related to the Hausdorff-Young theorem: W. T. Sledd; Proc. Amer. Math. Soc. 42 (1974), 535-540; DOI: https://doi.org/10.1090/S0002-9939-1974-0344780-7; PDF

A note on monomials in several complex variables: G. G. Weill; Proc. Amer. Math. Soc. 42 (1974), 541-542; DOI: https://doi.org/10.1090/S0002-9939-1974-0328116-3; PDF

Continuity of maximal monotone sets in Banach space: R. E. Showalter; Proc. Amer. Math. Soc. 42 (1974), 543-546; DOI: https://doi.org/10.1090/S0002-9939-1974-0333850-5; PDF

A note on divergence-like $2$-point boundary value problems: M. Joshi; Proc. Amer. Math. Soc. 42 (1974), 547-550; DOI: https://doi.org/10.1090/S0002-9939-1974-0328183-7; PDF

Factorable bounded operators and Schwartz spaces: Steven F. Bellenot; Proc. Amer. Math. Soc. 42 (1974), 551-554; DOI: https://doi.org/10.1090/S0002-9939-1974-0328557-4; PDF

Meromorphic continuation of the $\mathcal {L}$-matrix for the operator $-\Delta$ acting in a cylinder: Charles I. Goldstein; Proc. Amer. Math. Soc. 42 (1974), 555-562; DOI: https://doi.org/10.1090/S0002-9939-1974-0355687-3; PDF

The $k$th conjugate point function for an even order linear differential equation: George W. Johnson; Proc. Amer. Math. Soc. 42 (1974), 563-568; DOI: https://doi.org/10.1090/S0002-9939-1974-0333340-X; PDF

On the integrability of power series: Prabha Jain; Proc. Amer. Math. Soc. 42 (1974), 569-574; DOI: https://doi.org/10.1090/S0002-9939-1974-0338666-1; PDF

Asymptotics of Stirling numbers of the second kind: W. E. Bleick and Peter C. C. Wang; Proc. Amer. Math. Soc. 42 (1974), 575-580; DOI: https://doi.org/10.1090/S0002-9939-1974-0330867-1; PDF

On the continuity of functions in $W^{1}_{p}$ which are monotonic in one direction: Casper Goffman; Proc. Amer. Math. Soc. 42 (1974), 581-582; DOI: https://doi.org/10.1090/S0002-9939-1974-0327998-9; PDF

A counterexample in the classification of open Riemann surfaces: Young K. Kwon; Proc. Amer. Math. Soc. 42 (1974), 583-587; DOI: https://doi.org/10.1090/S0002-9939-1974-0330446-6; PDF

Cartesian products of metric Baire spaces: M. R. Krom; Proc. Amer. Math. Soc. 42 (1974), 588-594; DOI: https://doi.org/10.1090/S0002-9939-1974-0334138-9; PDF

Non-$n$-mutually aposyndetic continua: Leland E. Rogers; Proc. Amer. Math. Soc. 42 (1974), 595-601; DOI: https://doi.org/10.1090/S0002-9939-1974-0336717-1; PDF

A remark on finite dimensional compact connected monoids: L. W. Anderson and R. P. Hunter; Proc. Amer. Math. Soc. 42 (1974), 602-606; DOI: https://doi.org/10.1090/S0002-9939-1974-0333061-3; PDF

Zero-dimensional compact associative distributive universal algebras: Tae Ho Choe; Proc. Amer. Math. Soc. 42 (1974), 607-613; DOI: https://doi.org/10.1090/S0002-9939-1974-0325492-2; PDF

shm maps and conjugation: Ming Jung Lee; Proc. Amer. Math. Soc. 42 (1974), 614-620; DOI: https://doi.org/10.1090/S0002-9939-1974-0331378-X; PDF

On the first cohomology group of discrete groups with property $(T)$: S. P. Wang; Proc. Amer. Math. Soc. 42 (1974), 621-624; DOI: https://doi.org/10.1090/S0002-9939-1974-0354936-5; PDF

A note on the homeomorphism group of the rational numbers: Wayne R. Park; Proc. Amer. Math. Soc. 42 (1974), 625-626; DOI: https://doi.org/10.1090/S0002-9939-1974-0341368-9; PDF

Small neighborhoods of the identity of a real nilpotent group: L. P. Polek; Proc. Amer. Math. Soc. 42 (1974), 627-630; DOI: https://doi.org/10.1090/S0002-9939-1974-0340476-6; PDF

Foliations transverse to fibers of a bundle: J. F. Plante; Proc. Amer. Math. Soc. 42 (1974), 631-635; DOI: https://doi.org/10.1090/S0002-9939-1974-0331405-X; PDF

Necessary and sufficient conditions for Carlson’s theorem for entire functions: R. C. Buck; Proc. Amer. Math. Soc. 42 (1974), 636-638; DOI: https://doi.org/10.1090/S0002-9939-1974-0335804-1; PDF

Profinite groups are Galois groups: William C. Waterhouse; Proc. Amer. Math. Soc. 42 (1974), 639-640; DOI: https://doi.org/10.1090/S0002-9939-1974-0325587-3; PDF

Continued fractions and equivalent complex numbers: Richard B. Lakein; Proc. Amer. Math. Soc. 42 (1974), 641-642; DOI: https://doi.org/10.1090/S0002-9939-1974-0382179-8; PDF

A short proof of Fan’s fixed point theorem: Frode Terkelsen; Proc. Amer. Math. Soc. 42 (1974), 643-644; DOI: https://doi.org/10.1090/S0002-9939-1974-0333857-8; PDF

Errata: “Irregular invariant measures related to Haar measure” (Proc. Amer. Math. Soc. 24 (1970), 356–361): H. L. Peterson; Proc. Amer. Math. Soc. 42 (1974), 645; DOI: https://doi.org/10.1090/S0002-9939-1974-0325928-7; PDF

Erratum: “Symmetry of generalized group algebras” (Proc. Amer. Math. Soc. 25 (1970), 318–322): K. B. Laursen; Proc. Amer. Math. Soc. 42 (1974), 646; DOI: https://doi.org/10.1090/S0002-9939-1974-0326416-4; PDF

Erratum: “A set-theoretic proposition implying the metrizability of normal Moore spaces” (Proc. Amer. Math. Soc. 33 (1972), 195–198): Franklin D. Tall; Proc. Amer. Math. Soc. 42 (1974), 647; DOI: https://doi.org/10.1090/S0002-9939-1974-0326673-4; PDF

Erratum: “An extremal problem for functions with positive real part” (Proc. Amer. Math. Soc. 33 (1972), 455–462): R. S. Gupta; Proc. Amer. Math. Soc. 42 (1974), 647; DOI: https://doi.org/10.1090/S0002-9939-1974-0325977-9; PDF

Erratum: “Homotopy for functors”: Ming-Jung Lee; Proc. Amer. Math. Soc. 42 (1974), 648-650; DOI: https://doi.org/10.1090/S0002-9939-74-99961-4; PDF