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 3
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Every $l$-space is isomorphic to a strictly convex space: Mahlon M. Day; Proc. Amer. Math. Soc. 8 (1957), 415-417; DOI: https://doi.org/10.1090/S0002-9939-1957-0090775-0; PDF

On classes of solutions of elliptic linear partial differential equations: Avner Friedman; Proc. Amer. Math. Soc. 8 (1957), 418-427; DOI: https://doi.org/10.1090/S0002-9939-1957-0096894-7; PDF

Approximation of certain functions by exponentials on a half line: Paul Koosis; Proc. Amer. Math. Soc. 8 (1957), 428-435; DOI: https://doi.org/10.1090/S0002-9939-1957-0087803-5; PDF

Functional equations in the theory of dynamic programming. VII. A partial differential equation for the Fredholm resolvent: Richard Bellman; Proc. Amer. Math. Soc. 8 (1957), 435-440; DOI: https://doi.org/10.1090/S0002-9939-1957-0088666-4; PDF

Note on connectedness in topological rings: J. Gil de Lamadrid and J. P. Jans; Proc. Amer. Math. Soc. 8 (1957), 441-442; DOI: https://doi.org/10.1090/S0002-9939-1957-0087883-7; PDF

A theorem on power series whose coefficients have given signs: W. H. J. Fuchs; Proc. Amer. Math. Soc. 8 (1957), 443-449; DOI: https://doi.org/10.1090/S0002-9939-1957-0086119-0; PDF

On pairs of harmonic functions: R. M. Redheffer; Proc. Amer. Math. Soc. 8 (1957), 450-457; DOI: https://doi.org/10.1090/S0002-9939-1957-0087753-4; PDF

A Sturmian theorem for partial differential equations: R. M. Redheffer; Proc. Amer. Math. Soc. 8 (1957), 458-462; DOI: https://doi.org/10.1090/S0002-9939-1957-0086253-5; PDF

A note on linear ordinary differential equations: Stephen P. Diliberto; Proc. Amer. Math. Soc. 8 (1957), 462-464; DOI: https://doi.org/10.1090/S0002-9939-1957-0086961-6; PDF

A note on derivatives and neighborly functions: Abram V. Martin; Proc. Amer. Math. Soc. 8 (1957), 465-467; DOI: https://doi.org/10.1090/S0002-9939-1957-0086853-2; PDF

Some inequalities for Fourier transforms: Armen H. Zemanian; Proc. Amer. Math. Soc. 8 (1957), 468-475; DOI: https://doi.org/10.1090/S0002-9939-1957-0086934-3; PDF

Duality in vector lattices: D. B. Lowdenslager; Proc. Amer. Math. Soc. 8 (1957), 476-483; DOI: https://doi.org/10.1090/S0002-9939-1957-0087902-8; PDF

The $L_{p}$ convergence of Fourier-Bessel series for $0<p<1$: Charles Standish; Proc. Amer. Math. Soc. 8 (1957), 484-486; DOI: https://doi.org/10.1090/S0002-9939-1957-0094637-4; PDF

Some Tauberian properties of Hölder transformations. Addendum: Amnon Jakimovski; Proc. Amer. Math. Soc. 8 (1957), 487-488; DOI: https://doi.org/10.1090/S0002-9939-1957-0086164-5; PDF

A relationship between parabolic and spherical functions: Harry Hochstadt; Proc. Amer. Math. Soc. 8 (1957), 489-491; DOI: https://doi.org/10.1090/S0002-9939-1957-0086147-5; PDF

Complete orthonormal sequences of functions uniformly small on a subset: J. A. Hummel; Proc. Amer. Math. Soc. 8 (1957), 492-495; DOI: https://doi.org/10.1090/S0002-9939-1957-0086919-7; PDF

Reflexivity of the length function: Israel Halperin and W. A. J. Luxemburg; Proc. Amer. Math. Soc. 8 (1957), 496-499; DOI: https://doi.org/10.1090/S0002-9939-1957-0087903-X; PDF

Orthogonal harmonic functions in space: Thomas A. Elkins; Proc. Amer. Math. Soc. 8 (1957), 500-509; DOI: https://doi.org/10.1090/S0002-9939-1957-0086136-0; PDF

A Prüfer transformation for matrix differential equations: John H. Barrett; Proc. Amer. Math. Soc. 8 (1957), 510-518; DOI: https://doi.org/10.1090/S0002-9939-1957-0087821-7; PDF

A note on the law of large numbers: Hartley Rogers; Proc. Amer. Math. Soc. 8 (1957), 518-520; DOI: https://doi.org/10.1090/S0002-9939-1957-0088096-5; PDF

On the Dirichlet problem for linear differential equations: J. L. Ericksen; Proc. Amer. Math. Soc. 8 (1957), 521-522; DOI: https://doi.org/10.1090/S0002-9939-1957-0087001-5; PDF

On the identities of certain algebras: Adil Yaqub; Proc. Amer. Math. Soc. 8 (1957), 522-524; DOI: https://doi.org/10.1090/S0002-9939-1957-0090567-2; PDF

A matrix representation of the primitive residue classes (mod $2n$): K. Mahler; Proc. Amer. Math. Soc. 8 (1957), 525-531; DOI: https://doi.org/10.1090/S0002-9939-1957-0087664-4; PDF

Bounds for determinants. II: J. L. Brenner; Proc. Amer. Math. Soc. 8 (1957), 532-534; DOI: https://doi.org/10.1090/S0002-9939-1957-0086043-3; PDF

On operator commutators: David C. Kleinecke; Proc. Amer. Math. Soc. 8 (1957), 535-536; DOI: https://doi.org/10.1090/S0002-9939-1957-0087914-4; PDF

Nonisomorphic approximately finite factors: Harold Widom; Proc. Amer. Math. Soc. 8 (1957), 537-540; DOI: https://doi.org/10.1090/S0002-9939-1957-0086275-4; PDF

Matrix summability in $F$-fields: J. B. Roberts; Proc. Amer. Math. Soc. 8 (1957), 541-543; DOI: https://doi.org/10.1090/S0002-9939-1957-0086911-2; PDF

Ideals in a polyadic algebra: Fred B. Wright; Proc. Amer. Math. Soc. 8 (1957), 544-546; DOI: https://doi.org/10.1090/S0002-9939-1957-0087617-6; PDF

A lattice homomorphism of a lattice ordered group: Casper Goffman; Proc. Amer. Math. Soc. 8 (1957), 547-550; DOI: https://doi.org/10.1090/S0002-9939-1957-0087661-9; PDF

The imbedding operators on a partially ordered set: G. B. Robison and E. S. Wolk; Proc. Amer. Math. Soc. 8 (1957), 551-559; DOI: https://doi.org/10.1090/S0002-9939-1957-0086046-9; PDF

A note on the lattice of geometries: Juris Hartmanis; Proc. Amer. Math. Soc. 8 (1957), 560-562; DOI: https://doi.org/10.1090/S0002-9939-1957-0086045-7; PDF

Surfaces in a conformal correspondence: T. K. Pan; Proc. Amer. Math. Soc. 8 (1957), 563-571; DOI: https://doi.org/10.1090/S0002-9939-1957-0087999-5; PDF

Inversive and conformal convexity: P. J. Kelly and E. G. Straus; Proc. Amer. Math. Soc. 8 (1957), 572-577; DOI: https://doi.org/10.1090/S0002-9939-1957-0087973-9; PDF

Homotopy groups of one-dimensional spaces: M. L. Curtis and M. K. Fort; Proc. Amer. Math. Soc. 8 (1957), 577-579; DOI: https://doi.org/10.1090/S0002-9939-1957-0086296-1; PDF

The effect of maps upon the dimension of subsets of the domain space: R. F. Williams; Proc. Amer. Math. Soc. 8 (1957), 580-583; DOI: https://doi.org/10.1090/S0002-9939-1957-0087920-X; PDF

Comments on open homomorphisms: B. J. Pettis; Proc. Amer. Math. Soc. 8 (1957), 583-586; DOI: https://doi.org/10.1090/S0002-9939-1957-0087898-9; PDF

On the index of a fibered manifold: S. S. Chern, F. Hirzebruch and J.-P. Serre; Proc. Amer. Math. Soc. 8 (1957), 587-596; DOI: https://doi.org/10.1090/S0002-9939-1957-0087943-0; PDF

The peripheral character of central elements of a lattice: A. D. Wallace; Proc. Amer. Math. Soc. 8 (1957), 596-597; DOI: https://doi.org/10.1090/S0002-9939-1957-0087882-5; PDF

Univalent functions and nonanalytic curves: A. W. Goodman; Proc. Amer. Math. Soc. 8 (1957), 598-601; DOI: https://doi.org/10.1090/S0002-9939-1957-0086879-9; PDF

On a question concerning partitioning raised by R. H. Bing: Lida K. Barrett; Proc. Amer. Math. Soc. 8 (1957), 602-603; DOI: https://doi.org/10.1090/S0002-9939-1957-0087927-2; PDF

A Vietoris mapping theorem for homotopy: Stephen Smale; Proc. Amer. Math. Soc. 8 (1957), 604-610; DOI: https://doi.org/10.1090/S0002-9939-1957-0087106-9; PDF

On a vector space construction by Hausdorff: B. J. Pettis; Proc. Amer. Math. Soc. 8 (1957), 611-616; DOI: https://doi.org/10.1090/S0002-9939-1957-0087884-9; PDF

Systems of inequalities involving convex functions: Ky Fan, Irving Glicksberg and A. J. Hoffman; Proc. Amer. Math. Soc. 8 (1957), 617-622; DOI: https://doi.org/10.1090/S0002-9939-1957-0087574-2; PDF