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)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 8, Number 1
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Continuous function spaces isometric to Hilbert space: William F. Donoghue; Proc. Amer. Math. Soc. 8 (1957), 1-2; DOI: https://doi.org/10.1090/S0002-9939-1957-0083116-6; PDF

On infinitely differentiable positive definite functions: A. Devinatz; Proc. Amer. Math. Soc. 8 (1957), 3-10; DOI: https://doi.org/10.1090/S0002-9939-1957-0088605-6; PDF

On a series of Rainville involving Legendre polynomials: B. R. Bhonsle; Proc. Amer. Math. Soc. 8 (1957), 10-14; DOI: https://doi.org/10.1090/S0002-9939-1957-0083588-7; PDF

On the coefficients of meromorphic schlicht functions: Z. Nehari and E. Netanyahu; Proc. Amer. Math. Soc. 8 (1957), 15-23; DOI: https://doi.org/10.1090/S0002-9939-1957-0083038-0; PDF

Note on some gap theorems: Dieter Gaier; Proc. Amer. Math. Soc. 8 (1957), 24-28; DOI: https://doi.org/10.1090/S0002-9939-1957-0083612-1; PDF

On the domain of regularity of generalized axially symmetric potentials: Peter Henrici; Proc. Amer. Math. Soc. 8 (1957), 29-31; DOI: https://doi.org/10.1090/S0002-9939-1957-0090738-5; PDF

On meromorphic functions of bounded characteristic: David A. Storvick; Proc. Amer. Math. Soc. 8 (1957), 32-38; DOI: https://doi.org/10.1090/S0002-9939-1957-0083566-8; PDF

Continuous functions on compact spaces without perfect subsets: Walter Rudin; Proc. Amer. Math. Soc. 8 (1957), 39-42; DOI: https://doi.org/10.1090/S0002-9939-1957-0085475-7; PDF

A Schwarz inequality for convex operator functions: Chandler Davis; Proc. Amer. Math. Soc. 8 (1957), 42-44; DOI: https://doi.org/10.1090/S0002-9939-1957-0084120-4; PDF

On Laurent operators on $l_ p$: Philip Hartman; Proc. Amer. Math. Soc. 8 (1957), 45-48; DOI: https://doi.org/10.1090/S0002-9939-1957-0085474-5; PDF

On a generalization of the notion of $H^ *$-algebra: Parfeny P. Saworotnow; Proc. Amer. Math. Soc. 8 (1957), 49-55; DOI: https://doi.org/10.1090/S0002-9939-1957-0085480-0; PDF

On the imbedding of a right complemented algebra into Ambrose’s $H^ *$-algebra: Parfeny P. Saworotnow; Proc. Amer. Math. Soc. 8 (1957), 56-62; DOI: https://doi.org/10.1090/S0002-9939-1957-0085481-2; PDF

A boundary layer problem for an elliptic equation in the neighborhood of a singular point: Victor J. Mizel; Proc. Amer. Math. Soc. 8 (1957), 62-67; DOI: https://doi.org/10.1090/S0002-9939-1957-0083656-X; PDF

Eigenvalues and functional equations: Richard Bellman; Proc. Amer. Math. Soc. 8 (1957), 68-72; DOI: https://doi.org/10.1090/S0002-9939-1957-0099999-X; PDF

On the Hilbert matrix: Tosio Kato; Proc. Amer. Math. Soc. 8 (1957), 73-81; DOI: https://doi.org/10.1090/S0002-9939-1957-0083965-4; PDF

The Gibbs phenomenon for Borel means: Lee Lorch; Proc. Amer. Math. Soc. 8 (1957), 81-84; DOI: https://doi.org/10.1090/S0002-9939-1957-0083620-0; PDF

A condition that a normal operator have a closed numerical range: Ching-Hwa Meng; Proc. Amer. Math. Soc. 8 (1957), 85-88; DOI: https://doi.org/10.1090/S0002-9939-1957-0094711-2; PDF

On postulates for general quantum mechanics: D. B. Lowdenslager; Proc. Amer. Math. Soc. 8 (1957), 88-91; DOI: https://doi.org/10.1090/S0002-9939-1957-0084741-9; PDF

An interpolation theorem for sublinear operators on $H_ p$ spaces: Guido Weiss; Proc. Amer. Math. Soc. 8 (1957), 92-99; DOI: https://doi.org/10.1090/S0002-9939-1957-0090781-6; PDF

Convolutions with rational kernels: Jerome Blackman; Proc. Amer. Math. Soc. 8 (1957), 100-106; DOI: https://doi.org/10.1090/S0002-9939-1957-0084647-5; PDF

Evaluation of a trigonometric integral: R. Mohanty; Proc. Amer. Math. Soc. 8 (1957), 107-110; DOI: https://doi.org/10.1090/S0002-9939-1957-0083062-8; PDF

Maximal algebras of continuous functions: Henry Helson and Frank Quigley; Proc. Amer. Math. Soc. 8 (1957), 111-114; DOI: https://doi.org/10.1090/S0002-9939-1957-0084732-8; PDF

Existence of maximal ideals in algebras of continuous functions: Henry Helson and Frank Quigley; Proc. Amer. Math. Soc. 8 (1957), 115-119; DOI: https://doi.org/10.1090/S0002-9939-1957-0084731-6; PDF

Note on sums of four and six squares: L. Carlitz; Proc. Amer. Math. Soc. 8 (1957), 120-124; DOI: https://doi.org/10.1090/S0002-9939-1957-0084520-2; PDF

An inclusion theorem for modular groups: Morris Newman; Proc. Amer. Math. Soc. 8 (1957), 125-127; DOI: https://doi.org/10.1090/S0002-9939-1957-0085295-3; PDF

A property of ordered rings: A. A. Albert; Proc. Amer. Math. Soc. 8 (1957), 128-129; DOI: https://doi.org/10.1090/S0002-9939-1957-0082480-1; PDF

On uniform distribution and the density of sum sets: Bodo Volkmann; Proc. Amer. Math. Soc. 8 (1957), 130-136; DOI: https://doi.org/10.1090/S0002-9939-1957-0090618-5; PDF

The generality of local class field theory (Generalized local class field theory. V.): G. Whaples; Proc. Amer. Math. Soc. 8 (1957), 137-140; DOI: https://doi.org/10.1090/S0002-9939-1957-0090583-0; PDF

A note on completely primary rings: S. J. Bryant and J. L. Zemmer; Proc. Amer. Math. Soc. 8 (1957), 140-141; DOI: https://doi.org/10.1090/S0002-9939-1957-0082479-5; PDF

Integral representations of cyclic groups of prime order: Irving Reiner; Proc. Amer. Math. Soc. 8 (1957), 142-146; DOI: https://doi.org/10.1090/S0002-9939-1957-0083493-6; PDF

Flexible almost alternative algebras: D. M. Merriell; Proc. Amer. Math. Soc. 8 (1957), 146-150; DOI: https://doi.org/10.1090/S0002-9939-1957-0083485-7; PDF

A note on the compositeness of numbers: A. W. Addison; Proc. Amer. Math. Soc. 8 (1957), 151-154; DOI: https://doi.org/10.1090/S0002-9939-1957-0085292-8; PDF

Derivations of nilpotent Lie algebras: J. Dixmier and W. G. Lister; Proc. Amer. Math. Soc. 8 (1957), 155-158; DOI: https://doi.org/10.1090/S0002-9939-1957-0083101-4; PDF

Characteristic ideals and the structure of Lie algebras: George B. Seligman; Proc. Amer. Math. Soc. 8 (1957), 159-164; DOI: https://doi.org/10.1090/S0002-9939-1957-0082974-9; PDF

Regular collineation groups: D. R. Hughes; Proc. Amer. Math. Soc. 8 (1957), 165-168; DOI: https://doi.org/10.1090/S0002-9939-1957-0083142-7; PDF

Classes of maximum numbers associated with two symmetric equations in $N$ reciprocals: H. A. Simmons; Proc. Amer. Math. Soc. 8 (1957), 169-175; DOI: https://doi.org/10.1090/S0002-9939-1957-0084003-X; PDF

Cylindric and polyadic algebras: Bernard A. Galler; Proc. Amer. Math. Soc. 8 (1957), 176-183; DOI: https://doi.org/10.1090/S0002-9939-1957-0086031-7; PDF

On $H$-spaces with two non-trivial homotopy groups: Arthur H. Copeland; Proc. Amer. Math. Soc. 8 (1957), 184-191; DOI: https://doi.org/10.1090/S0002-9939-1957-0083737-0; PDF

Multiplication on spheres. I: I. M. James; Proc. Amer. Math. Soc. 8 (1957), 192-196; DOI: https://doi.org/10.1090/S0002-9939-1957-0083726-6; PDF

The structure of a class of representations of the unitary group on a Hilbert space: I. E. Segal; Proc. Amer. Math. Soc. 8 (1957), 197-203; DOI: https://doi.org/10.1090/S0002-9939-1957-0084122-8; PDF

Some consequences of the approximation theorem of Bing: O. G. Harrold; Proc. Amer. Math. Soc. 8 (1957), 204-206; DOI: https://doi.org/10.1090/S0002-9939-1957-0087091-X; PDF