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 16, Number 4
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An imbedding theorem for connected $3$-manifolds with boundary: B. G. Casler; Proc. Amer. Math. Soc. 16 (1965), 559-566; DOI: https://doi.org/10.1090/S0002-9939-1965-0178473-0; PDF

On the differentiability of affine and projective transformations: F. Brickell; Proc. Amer. Math. Soc. 16 (1965), 567-574; DOI: https://doi.org/10.1090/S0002-9939-1965-0178430-4; PDF

On the topology of $\textrm {EIII}$ and $\textrm {EIV}$: Lawrence Conlon; Proc. Amer. Math. Soc. 16 (1965), 575-581; DOI: https://doi.org/10.1090/S0002-9939-1965-0179808-5; PDF

A note on compact transformation groups with a fixed end point: Hsin Chu; Proc. Amer. Math. Soc. 16 (1965), 581-583; DOI: https://doi.org/10.1090/S0002-9939-1965-0200916-4; PDF

An example in Čech cohomology: Daniel S. Kahn; Proc. Amer. Math. Soc. 16 (1965), 584; DOI: https://doi.org/10.1090/S0002-9939-1965-0179785-7; PDF

A new proof of the Bonice-Klee theorem: John R. Reay; Proc. Amer. Math. Soc. 16 (1965), 585-587; DOI: https://doi.org/10.1090/S0002-9939-1965-0180915-1; PDF

Order convergence and topological convergence: Ralph E. DeMarr; Proc. Amer. Math. Soc. 16 (1965), 588-590; DOI: https://doi.org/10.1090/S0002-9939-1965-0178449-3; PDF

Intrinsic characterizations of tangent spaces: Howard Osborn; Proc. Amer. Math. Soc. 16 (1965), 591-594; DOI: https://doi.org/10.1090/S0002-9939-1965-0179720-1; PDF

The dual of the flabby is the bar: James A. Schafer; Proc. Amer. Math. Soc. 16 (1965), 594-598; DOI: https://doi.org/10.1090/S0002-9939-1965-0184987-X; PDF

Cellular subcomplexes of piecewise-linear manifolds: Richard E. Chandler; Proc. Amer. Math. Soc. 16 (1965), 599-600; DOI: https://doi.org/10.1090/S0002-9939-1965-0180972-2; PDF

Metric-dependent dimension functions: K. Nagami and J. H. Roberts; Proc. Amer. Math. Soc. 16 (1965), 601-604; DOI: https://doi.org/10.1090/S0002-9939-1965-0195059-2; PDF

On the subdifferentiability of convex functions: A. Brøndsted and R. T. Rockafellar; Proc. Amer. Math. Soc. 16 (1965), 605-611; DOI: https://doi.org/10.1090/S0002-9939-1965-0178103-8; PDF

A translation of the normal Moore space conjecture: R. H. Bing; Proc. Amer. Math. Soc. 16 (1965), 612-619; DOI: https://doi.org/10.1090/S0002-9939-1965-0181976-6; PDF

The chromatic polynomial of the truncated icosahedron: D. W. Hall, J. W. Siry and B. R. Vanderslice; Proc. Amer. Math. Soc. 16 (1965), 620-628; DOI: https://doi.org/10.1090/S0002-9939-1965-0179110-1; PDF

Uniqueness theorems for convolution-type equations: D. J. Newman; Proc. Amer. Math. Soc. 16 (1965), 629-634; DOI: https://doi.org/10.1090/S0002-9939-1965-0178316-5; PDF

Definite and quasidefinite sets of stochastic matrices: Azaria Paz; Proc. Amer. Math. Soc. 16 (1965), 634-641; DOI: https://doi.org/10.1090/S0002-9939-1965-0177996-8; PDF

On the inversion invariance of invariant means: R. G. Douglas; Proc. Amer. Math. Soc. 16 (1965), 642-644; DOI: https://doi.org/10.1090/S0002-9939-1965-0179603-7; PDF

On measure and other properties of a Hamel basis: R. B. Darst; Proc. Amer. Math. Soc. 16 (1965), 645-646; DOI: https://doi.org/10.1090/S0002-9939-1965-0178107-5; PDF

Effective inseparability for sequences of sets: A. H. Lachlan; Proc. Amer. Math. Soc. 16 (1965), 647-653; DOI: https://doi.org/10.1090/S0002-9939-1965-0182559-4; PDF

Stone-Weierstrass theorems for the strict topology: Christopher Todd; Proc. Amer. Math. Soc. 16 (1965), 654-659; DOI: https://doi.org/10.1090/S0002-9939-1965-0179645-1; PDF

Weak limits of powers of a contraction in Hilbert space: S. R. Foguel; Proc. Amer. Math. Soc. 16 (1965), 659-661; DOI: https://doi.org/10.1090/S0002-9939-1965-0180862-5; PDF

A peculiar Banach function space: G. L. Seever; Proc. Amer. Math. Soc. 16 (1965), 662-664; DOI: https://doi.org/10.1090/S0002-9939-1965-0179607-4; PDF

A moment problem in $L_{1}$ approximation: Charles R. Hobby and John R. Rice; Proc. Amer. Math. Soc. 16 (1965), 665-670; DOI: https://doi.org/10.1090/S0002-9939-1965-0178292-5; PDF

On unitary equivalence of Hilbert-Schmidt operators: Don Deckard and Carl Pearcy; Proc. Amer. Math. Soc. 16 (1965), 671-675; DOI: https://doi.org/10.1090/S0002-9939-1965-0179620-7; PDF

Generalized eigenvalues of automorphisms: M. A. Akcoglu and R. V. Chacon; Proc. Amer. Math. Soc. 16 (1965), 676-680; DOI: https://doi.org/10.1090/S0002-9939-1965-0179324-0; PDF

Partially isometric Toeplitz operators: Arlen Brown and R. G. Douglas; Proc. Amer. Math. Soc. 16 (1965), 681-682; DOI: https://doi.org/10.1090/S0002-9939-1965-0178355-4; PDF

On Cauchy’s functional equation: Wolfgang B. Jurkat; Proc. Amer. Math. Soc. 16 (1965), 683-686; DOI: https://doi.org/10.1090/S0002-9939-1965-0179496-8; PDF

Some Hilbert space extremal problems: Marvin Rosenblum; Proc. Amer. Math. Soc. 16 (1965), 687-691; DOI: https://doi.org/10.1090/S0002-9939-1965-0180798-X; PDF

Factor sets for doubly stochastic operators on a Hilbert space: Richard Sinkhorn; Proc. Amer. Math. Soc. 16 (1965), 692-695; DOI: https://doi.org/10.1090/S0002-9939-1965-0180875-3; PDF

A note on semigroups of operators on a locally convex space: K. Singbal-Vedak; Proc. Amer. Math. Soc. 16 (1965), 696-702; DOI: https://doi.org/10.1090/S0002-9939-1965-0182888-4; PDF

On recursively defined orthogonal polynomials: T. S. Chihara; Proc. Amer. Math. Soc. 16 (1965), 702-710; DOI: https://doi.org/10.1090/S0002-9939-1965-0179398-7; PDF

The qualitative behavior of a nonlinear Volterra equation: J. J. Levin; Proc. Amer. Math. Soc. 16 (1965), 711-718; DOI: https://doi.org/10.1090/S0002-9939-1965-0190669-0; PDF

Open sets of conservative matrices: I. David Berg; Proc. Amer. Math. Soc. 16 (1965), 719-724; DOI: https://doi.org/10.1090/S0002-9939-1965-0179514-7; PDF

Differential operators approximately of the form $(1-(1/W(x)) d/dx)^{n}$: Erling William Chamberlain; Proc. Amer. Math. Soc. 16 (1965), 725-730; DOI: https://doi.org/10.1090/S0002-9939-1965-0183940-X; PDF

A class of Riemann surfaces: Thomas A. Atchison; Proc. Amer. Math. Soc. 16 (1965), 731-738; DOI: https://doi.org/10.1090/S0002-9939-1965-0178137-3; PDF

The adjoint of a differential operator with integral boundary conditions: Allan M. Krall; Proc. Amer. Math. Soc. 16 (1965), 738-742; DOI: https://doi.org/10.1090/S0002-9939-1965-0181794-9; PDF

Perturbation of a Sturm-Liouville operator by a finite function: Richard C. Gilbert; Proc. Amer. Math. Soc. 16 (1965), 743-746; DOI: https://doi.org/10.1090/S0002-9939-1965-0178186-5; PDF

Meromorphic functions on certain Riemann surfaces: Mitsuru Ozawa; Proc. Amer. Math. Soc. 16 (1965), 747-752; DOI: https://doi.org/10.1090/S0002-9939-1965-0196069-1; PDF

On the eigenvalues of a matrix which commutes with its derivative: Nicholas J. Rose; Proc. Amer. Math. Soc. 16 (1965), 752-754; DOI: https://doi.org/10.1090/S0002-9939-1965-0184953-4; PDF

Some classes of regular univalent functions: R. J. Libera; Proc. Amer. Math. Soc. 16 (1965), 755-758; DOI: https://doi.org/10.1090/S0002-9939-1965-0178131-2; PDF

A hypergeometric mean value: B. C. Carlson; Proc. Amer. Math. Soc. 16 (1965), 759-766; DOI: https://doi.org/10.1090/S0002-9939-1965-0179389-6; PDF

Second order linear and nonlinear differential equations: J. J. Gergen and F. G. Dressel; Proc. Amer. Math. Soc. 16 (1965), 767-773; DOI: https://doi.org/10.1090/S0002-9939-1965-0180712-7; PDF

A linear generalization of Gronwall’s inequality: D. Willett; Proc. Amer. Math. Soc. 16 (1965), 774-778; DOI: https://doi.org/10.1090/S0002-9939-1965-0181726-3; PDF

A remark on the general summability theorem: T. Kawata; Proc. Amer. Math. Soc. 16 (1965), 779-783; DOI: https://doi.org/10.1090/S0002-9939-1965-0179541-X; PDF

Free groups, Hirsch-Plotkin radicals, and applications to geometry: L. Auslander and E. Schenkman; Proc. Amer. Math. Soc. 16 (1965), 784-788; DOI: https://doi.org/10.1090/S0002-9939-1965-0180596-7; PDF

Injective modules under change of rings: Ernst Snapper; Proc. Amer. Math. Soc. 16 (1965), 788-790; DOI: https://doi.org/10.1090/S0002-9939-1965-0181659-2; PDF

On powers of real numbers $(\textrm {mod}\ 1)$: David G. Cantor; Proc. Amer. Math. Soc. 16 (1965), 791-793; DOI: https://doi.org/10.1090/S0002-9939-1965-0177977-4; PDF

Generalized quotient rings: Fred Richman; Proc. Amer. Math. Soc. 16 (1965), 794-799; DOI: https://doi.org/10.1090/S0002-9939-1965-0181653-1; PDF

On associative division algebras of prime degree: A. A. Albert; Proc. Amer. Math. Soc. 16 (1965), 799-802; DOI: https://doi.org/10.1090/S0002-9939-1965-0179203-9; PDF

Concerning the commutator subgroup of a ring: W. E. Baxter; Proc. Amer. Math. Soc. 16 (1965), 803-805; DOI: https://doi.org/10.1090/S0002-9939-1965-0180577-3; PDF

The number of coprime chains with largest member $n$: R. C. Entringer; Proc. Amer. Math. Soc. 16 (1965), 806-810; DOI: https://doi.org/10.1090/S0002-9939-1965-0184914-5; PDF

On the content of polynomials: Fred Krakowski; Proc. Amer. Math. Soc. 16 (1965), 810-812; DOI: https://doi.org/10.1090/S0002-9939-1965-0179157-5; PDF

Simply invariant subspaces and generalized analytic functions: T. P. Srinivasan; Proc. Amer. Math. Soc. 16 (1965), 813-818; DOI: https://doi.org/10.1090/S0002-9939-1965-0208409-5; PDF

Irrational power series. III: L. J. Mordell; Proc. Amer. Math. Soc. 16 (1965), 819-821; DOI: https://doi.org/10.1090/S0002-9939-1965-0183707-2; PDF

Grushko’s theorem: Roger C. Lyndon; Proc. Amer. Math. Soc. 16 (1965), 822-826; DOI: https://doi.org/10.1090/S0002-9939-1965-0178073-2; PDF

Generalized functions of symmetric matrices: Marvin Marcus and Morris Newman; Proc. Amer. Math. Soc. 16 (1965), 826-830; DOI: https://doi.org/10.1090/S0002-9939-1965-0179182-4; PDF

Normal subgroups of the modular group which are not congruence subgroups: Morris Newman; Proc. Amer. Math. Soc. 16 (1965), 831-832; DOI: https://doi.org/10.1090/S0002-9939-1965-0181618-X; PDF

On the Diophantine equation $x^{p}+y^{p}=cz^{p}$: Taro Morishima and Takeo Miyoshi; Proc. Amer. Math. Soc. 16 (1965), 833-836; DOI: https://doi.org/10.1090/S0002-9939-1965-0180526-8; PDF

An exact sequence in Galois cohomology: Dock Sang Rim; Proc. Amer. Math. Soc. 16 (1965), 837-840; DOI: https://doi.org/10.1090/S0002-9939-1965-0179232-5; PDF

Correction and supplement to the paper “The direct product of right singular semigroups and certain groupoids”: T. Tamura, R. B. Merkel and J. F. Latimer; Proc. Amer. Math. Soc. 16 (1965), 841; DOI: https://doi.org/10.1090/S0002-9939-1965-0178085-9; PDF

A proof of the martingale convergence theorem: Richard Isaac; Proc. Amer. Math. Soc. 16 (1965), 842-844; DOI: https://doi.org/10.1090/S0002-9939-1965-0179830-9; PDF

Perfect null sets in compact Hausdorff spaces: R. B. Darst; Proc. Amer. Math. Soc. 16 (1965), 845; DOI: https://doi.org/10.1090/S0002-9939-1965-0177382-0; PDF

On the undecidability of power series fields: James Ax; Proc. Amer. Math. Soc. 16 (1965), 846; DOI: https://doi.org/10.1090/S0002-9939-1965-0177890-2; PDF