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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 72, Number 1
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Solution of planar Diophantine equations
James C. Owings
Proc. Amer. Math. Soc. 72 (1978), 1-5
DOI: https://doi.org/10.1090/S0002-9939-1978-0498366-8
Poincaré series of modules over local rings
Gerson Levin
Proc. Amer. Math. Soc. 72 (1978), 6-10
DOI: https://doi.org/10.1090/S0002-9939-1978-0503520-2
Constructing sequences of divided powers. II
Astrid J. Berkson and Kenneth Newman
Proc. Amer. Math. Soc. 72 (1978), 11-15
DOI: https://doi.org/10.1090/S0002-9939-1978-0503521-4
Representation functions of sequences in additive number theory
Melvyn B. Nathanson
Proc. Amer. Math. Soc. 72 (1978), 16-20
DOI: https://doi.org/10.1090/S0002-9939-1978-0503522-6
Positive derivations on partially ordered linear algebra with an order unit
Taen Yu Dai and Ralph DeMarr
Proc. Amer. Math. Soc. 72 (1978), 21-26
DOI: https://doi.org/10.1090/S0002-9939-1978-0491402-4
The large condition for rings with Krull dimension
Ann K. Boyle
Proc. Amer. Math. Soc. 72 (1978), 27-32
DOI: https://doi.org/10.1090/S0002-9939-1978-0503524-X
Prime elements and prime sequences in polynomial rings
Edward D. Davis
Proc. Amer. Math. Soc. 72 (1978), 33-38
DOI: https://doi.org/10.1090/S0002-9939-1978-0498533-3
Cohomological triviality by spectral methods
Juan José Martínez
Proc. Amer. Math. Soc. 72 (1978), 39-40
DOI: https://doi.org/10.1090/S0002-9939-1978-0578499-8
Analyticity of functions and subalgebras of $L^\infty$ containing $H^\infty$
S.-Y. A. Chang and J. B. Garnett
Proc. Amer. Math. Soc. 72 (1978), 41-45
DOI: https://doi.org/10.1090/S0002-9939-78-99960-4
Continuity properties of monotone nonlinear operators in locally convex spaces
Dimitrios Kravvaritis
Proc. Amer. Math. Soc. 72 (1978), 46-48
DOI: https://doi.org/10.1090/S0002-9939-1978-0487609-2
An ergodic theorem for Fréchet-valued random variables
D. Landers and L. Rogge
Proc. Amer. Math. Soc. 72 (1978), 49-53
DOI: https://doi.org/10.1090/S0002-9939-1978-0501293-0
A characterization of $C^{\ast }$-subalgebras
Jan A. van Casteren
Proc. Amer. Math. Soc. 72 (1978), 54-56
DOI: https://doi.org/10.1090/S0002-9939-1978-0503530-5
The Carathéodory extension theorem for vector valued measures
Joseph Kupka
Proc. Amer. Math. Soc. 72 (1978), 57-61
DOI: https://doi.org/10.1090/S0002-9939-1978-0493327-7
The size of the set of left invariant means on an ELA semigroup
Alan L. T. Paterson
Proc. Amer. Math. Soc. 72 (1978), 62-64
DOI: https://doi.org/10.1090/S0002-9939-1978-0493156-4
Resultant operators of a pair of analytic functions
I. C. Gohberg and L. E. Lerer
Proc. Amer. Math. Soc. 72 (1978), 65-73
DOI: https://doi.org/10.1090/S0002-9939-1978-0493487-8
On spectra of Hausdorff operators on $l^{2}_{+}$
James A. Deddens
Proc. Amer. Math. Soc. 72 (1978), 74-76
DOI: https://doi.org/10.1090/S0002-9939-1978-0500207-7
$L^{2}$-boundedness for pseudo-differential operators with unbounded symbols
Gary Childs
Proc. Amer. Math. Soc. 72 (1978), 77-81
DOI: https://doi.org/10.1090/S0002-9939-1978-0500300-9
Finite-dimensional perturbations
Horst Behncke
Proc. Amer. Math. Soc. 72 (1978), 82-84
DOI: https://doi.org/10.1090/S0002-9939-1978-0503536-6
On Markov stability
Corrado Risito
Proc. Amer. Math. Soc. 72 (1978), 85-88
DOI: https://doi.org/10.1090/S0002-9939-1978-0492632-8
Applications of Andrews’ basic Lauricella transformation
D. M. Bressoud
Proc. Amer. Math. Soc. 72 (1978), 89-94
DOI: https://doi.org/10.1090/S0002-9939-1978-0486677-1
Bundle shifts and Ahlfors functions
M. B. Abrahamse and J. J. Bastian
Proc. Amer. Math. Soc. 72 (1978), 95-96
DOI: https://doi.org/10.1090/S0002-9939-1978-0503539-1
On fixed points of nonexpansive set-valued mappings
R. K. Bose and R. N. Mukherjee
Proc. Amer. Math. Soc. 72 (1978), 97-98
DOI: https://doi.org/10.1090/S0002-9939-1978-0488002-9
On the proximinality of compact operators with range in $C(S)$
Jaroslav Mach
Proc. Amer. Math. Soc. 72 (1978), 99-104
DOI: https://doi.org/10.1090/S0002-9939-1978-0512853-5
On topological isomorphisms of $C_{0}(X)$ and the cardinal number of $X$
Babattin Cengiz
Proc. Amer. Math. Soc. 72 (1978), 105-108
DOI: https://doi.org/10.1090/S0002-9939-1978-0493291-0
The Cauchy problem for hyperbolic operators with variable multiple characteristics
Kazuhiro Yamamoto
Proc. Amer. Math. Soc. 72 (1978), 109-116
DOI: https://doi.org/10.1090/S0002-9939-1978-0503542-1
Convergence of certain cosine sums in a metric space — $L$
Niranjan Singh and K. M. Sharma
Proc. Amer. Math. Soc. 72 (1978), 117-120
DOI: https://doi.org/10.1090/S0002-9939-1978-0503543-3
On multipliers of Segal algebras
M. Dutta and U. B. Tewari
Proc. Amer. Math. Soc. 72 (1978), 121-124
DOI: https://doi.org/10.1090/S0002-9939-1978-0493166-7
Local $p$-Sidon sets for Lie groups
A. H. Dooley and Paolo M. Soardi
Proc. Amer. Math. Soc. 72 (1978), 125-126
DOI: https://doi.org/10.1090/S0002-9939-1978-0493179-5
A generalization of Study’s theorem on convex maps
Roger W. Barnard
Proc. Amer. Math. Soc. 72 (1978), 127-134
DOI: https://doi.org/10.1090/S0002-9939-1978-0503546-9
On Robinson’s ${1\over 2}$ conjecture
Roger W. Barnard
Proc. Amer. Math. Soc. 72 (1978), 135-139
DOI: https://doi.org/10.1090/S0002-9939-1978-0503547-0
Closed geodesics on Riemann surfaces
Troels Jørgensen
Proc. Amer. Math. Soc. 72 (1978), 140-142
DOI: https://doi.org/10.1090/S0002-9939-1978-0503548-2
Antipodal manifolds in compact symmetric spaces of rank one
Juan Alfredo Tirao
Proc. Amer. Math. Soc. 72 (1978), 143-149
DOI: https://doi.org/10.1090/S0002-9939-1978-0503549-4
Curvature of product $3$-manifolds
James R. Wason
Proc. Amer. Math. Soc. 72 (1978), 150-154
DOI: https://doi.org/10.1090/S0002-9939-1978-0503550-0
A bound on solutions of linear integer equalities and inequalities
Joachim von zur Gathen and Malte Sieveking
Proc. Amer. Math. Soc. 72 (1978), 155-158
DOI: https://doi.org/10.1090/S0002-9939-1978-0500555-0
A bound for decompositions of $m$-convex sets whose LNC points lie in a hyperplane
Marilyn Breen
Proc. Amer. Math. Soc. 72 (1978), 159-162
DOI: https://doi.org/10.1090/S0002-9939-1978-0640747-3
A note on the combinatorial principles $\diamondsuit (E)$
Keith J. Devlin
Proc. Amer. Math. Soc. 72 (1978), 163-165
DOI: https://doi.org/10.1090/S0002-9939-1978-0491194-9
Approximation of $L^{1}$-bounded martingales by martingales of bounded variation
D. L. Burkholder and T. Shintani
Proc. Amer. Math. Soc. 72 (1978), 166-169
DOI: https://doi.org/10.1090/S0002-9939-1978-0494472-2
Brick decompositions and $Q$-manifolds
D. W. Curtis and G. Kozlowski
Proc. Amer. Math. Soc. 72 (1978), 170-174
DOI: https://doi.org/10.1090/S0002-9939-1978-0503555-X
A class of mappings containing all continuous and all semiconnected mappings
J. K. Kohli
Proc. Amer. Math. Soc. 72 (1978), 175-181
DOI: https://doi.org/10.1090/S0002-9939-1978-0493941-9
On the Sierpiński-Erdős and the Oxtoby-Ulam theorems for some new sigma-ideals of sets
C. G. Mendez
Proc. Amer. Math. Soc. 72 (1978), 182-188
DOI: https://doi.org/10.1090/S0002-9939-1978-0515115-5
Stratifiable $\sigma$-discrete spaces are $M_{1}$
Gary Gruenhage
Proc. Amer. Math. Soc. 72 (1978), 189-190
DOI: https://doi.org/10.1090/S0002-9939-1978-0500850-5
An elementary proof of the classification of surfaces in the projective $3$-space
J. H. C. Creighton
Proc. Amer. Math. Soc. 72 (1978), 191-192
DOI: https://doi.org/10.1090/S0002-9939-1978-0515780-2
Triangulation of stratified objects
R. Mark Goresky
Proc. Amer. Math. Soc. 72 (1978), 193-200
DOI: https://doi.org/10.1090/S0002-9939-1978-0500991-2
$k$-regular embeddings of the plane
F. R. Cohen and D. Handel
Proc. Amer. Math. Soc. 72 (1978), 201-204
DOI: https://doi.org/10.1090/S0002-9939-1978-0524347-1
An internal and an external characterization of convergence spaces in which adherences of filters are closed
Eva Lowen-Colebunders
Proc. Amer. Math. Soc. 72 (1978), 205-210
DOI: https://doi.org/10.1090/S0002-9939-1978-0500785-8
A lower bound on the number of vertices of a graph
V. G. Kane and S. P. Mohanty
Proc. Amer. Math. Soc. 72 (1978), 211-212
DOI: https://doi.org/10.1090/S0002-9939-1978-0524348-3
Symmetric graphs with projective subconstituents
Richard Weiss
Proc. Amer. Math. Soc. 72 (1978), 213-217
DOI: https://doi.org/10.1090/S0002-9939-1978-0524349-5
Homology equivalent finite groups are isomorphic
Marc Culler
Proc. Amer. Math. Soc. 72 (1978), 218-220
DOI: https://doi.org/10.1090/S0002-9939-1978-0486195-0