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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 21, Number 1
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On a complement to Valiron’s tauberian theorem for the Stieltjes transform
Daniel F. Shea
Proc. Amer. Math. Soc. 21 (1969), 1-9
DOI: https://doi.org/10.1090/S0002-9939-1969-0240505-2
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Summability of a sequence of Fourier coefficients by a triangular matrix transformation
H. P. Dikshit
Proc. Amer. Math. Soc. 21 (1969), 10-20
DOI: https://doi.org/10.1090/S0002-9939-1969-0254501-2
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On the centralizer of a lattice
S. P. Wang
Proc. Amer. Math. Soc. 21 (1969), 21-23
DOI: https://doi.org/10.1090/S0002-9939-1969-0237708-X
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Remark on a paper of Y. Ikebe
Ivan Singer
Proc. Amer. Math. Soc. 21 (1969), 24-26
DOI: https://doi.org/10.1090/S0002-9939-1969-0238014-X
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Decomposition theorems for vector measures
James K. Brooks
Proc. Amer. Math. Soc. 21 (1969), 27-29
DOI: https://doi.org/10.1090/S0002-9939-1969-0237743-1
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A note on Ahlfors’ theory of covering surfaces
Joseph Miles
Proc. Amer. Math. Soc. 21 (1969), 30-32
DOI: https://doi.org/10.1090/S0002-9939-1969-0239091-2
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On the zeros of the Bergman function in doubly-connected domains
Paul Rosenthal
Proc. Amer. Math. Soc. 21 (1969), 33-35
DOI: https://doi.org/10.1090/S0002-9939-1969-0239066-3
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On sequential cores and a theorem of R. R. Phelps
R. Atalla and J. Bustoz
Proc. Amer. Math. Soc. 21 (1969), 36-42
DOI: https://doi.org/10.1090/S0002-9939-1969-0243357-X
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Symmetric operators with singular spectral functions
Richard C. Gilbert
Proc. Amer. Math. Soc. 21 (1969), 43-49
DOI: https://doi.org/10.1090/S0002-9939-1969-0236736-8
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A class of related Dirichlet and initial value problems
L. R. Bragg and J. W. Dettman
Proc. Amer. Math. Soc. 21 (1969), 50-56
DOI: https://doi.org/10.1090/S0002-9939-1969-0236529-1
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On a relation between absolute Abel and absolute Riesz summability.
J. S. Ratti
Proc. Amer. Math. Soc. 21 (1969), 57-62
DOI: https://doi.org/10.1090/S0002-9939-1969-0239322-9
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On a theorem of Azbelev and Caljuk
Thomas L. Sherman
Proc. Amer. Math. Soc. 21 (1969), 63
DOI: https://doi.org/10.1090/S0002-9939-1969-0239188-7
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Finding a boundary for a $3$-manifold
L. S. Husch
Proc. Amer. Math. Soc. 21 (1969), 64-68
DOI: https://doi.org/10.1090/S0002-9939-1969-0239609-X
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The Arf invariant for knot types
Kunio Murasugi
Proc. Amer. Math. Soc. 21 (1969), 69-72
DOI: https://doi.org/10.1090/S0002-9939-1969-0238301-5
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A note on the holonomy group of manifolds with certain structures
D. E. Blair and A. P. Stone
Proc. Amer. Math. Soc. 21 (1969), 73-76
DOI: https://doi.org/10.1090/S0002-9939-1969-0236839-8
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Generalization of a theorem of Pósa
Hudson V. Kronk
Proc. Amer. Math. Soc. 21 (1969), 77-78
DOI: https://doi.org/10.1090/S0002-9939-1969-0237377-9
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$3$-manifolds fibering over $S^{1}$ with nonunique connected fiber
Jeffrey L. Tollefson
Proc. Amer. Math. Soc. 21 (1969), 79-80
DOI: https://doi.org/10.1090/S0002-9939-1969-0236945-8
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Modularity in topological lattices
Don E. Edmondson
Proc. Amer. Math. Soc. 21 (1969), 81-82
DOI: https://doi.org/10.1090/S0002-9939-1969-0240787-7
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Convex components, extreme points, and the convex kernel
John W. Kenelly, W. R. Hare, B. D. Evans and W. H. Ludescher
Proc. Amer. Math. Soc. 21 (1969), 83-87
DOI: https://doi.org/10.1090/S0002-9939-1969-0238183-1
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Factorization of certain maps up to homotopy
George Kozlowski
Proc. Amer. Math. Soc. 21 (1969), 88-92
DOI: https://doi.org/10.1090/S0002-9939-1969-0238312-X
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A class of projective planes of cubic order
Peter Lorimer
Proc. Amer. Math. Soc. 21 (1969), 93-95
DOI: https://doi.org/10.1090/S0002-9939-1969-0236814-3
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Integrability of almost Kaehler manifolds
S. I. Goldberg
Proc. Amer. Math. Soc. 21 (1969), 96-100
DOI: https://doi.org/10.1090/S0002-9939-1969-0238238-1
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On the nonexistence of free differentiable $S^{3}$-actions on homotopy spheres
Hsu-tung Ku and Mei-chin Ku
Proc. Amer. Math. Soc. 21 (1969), 101-103
DOI: https://doi.org/10.1090/S0002-9939-1969-0236949-5
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Completely regular maps, fiber maps and local $n$-connectivity
Gerald S. Ungar
Proc. Amer. Math. Soc. 21 (1969), 104-108
DOI: https://doi.org/10.1090/S0002-9939-1969-0246297-5
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A note on closed maps and metrizability
D. M. Hyman
Proc. Amer. Math. Soc. 21 (1969), 109-112
DOI: https://doi.org/10.1090/S0002-9939-1969-0238258-7
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A note on complete separation in the Stone topology
G. A. Jensen
Proc. Amer. Math. Soc. 21 (1969), 113-116
DOI: https://doi.org/10.1090/S0002-9939-1969-0242743-1
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Concerning semiconnected maps
Paul E. Long
Proc. Amer. Math. Soc. 21 (1969), 117-118
DOI: https://doi.org/10.1090/S0002-9939-1969-0236890-8
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A theorem on one-to-one mappings onto the plane
R. F. Dickman
Proc. Amer. Math. Soc. 21 (1969), 119-120
DOI: https://doi.org/10.1090/S0002-9939-1969-0248766-0
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A note on cluster points of a semihereditary stable system of sets.
W. F. Pfeffer and W. J. Wilbur
Proc. Amer. Math. Soc. 21 (1969), 121-125
DOI: https://doi.org/10.1090/S0002-9939-1969-0238253-8
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Metric spaces all of whose decompositions are metric
Stephen Willard
Proc. Amer. Math. Soc. 21 (1969), 126-128
DOI: https://doi.org/10.1090/S0002-9939-1969-0239562-9
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On a class of finer topologies with the same class of homeomorphisms.
Yu-lee Lee
Proc. Amer. Math. Soc. 21 (1969), 129-133
DOI: https://doi.org/10.1090/S0002-9939-1969-0236863-5
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An asymptotic estimate of Brownian path variation
Priscilla E. Greenwood
Proc. Amer. Math. Soc. 21 (1969), 134-138
DOI: https://doi.org/10.1090/S0002-9939-1969-0235617-3
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The Radon-Nikodym theorem and the mean convergence of Banach space valued martingales
J. J. Uhl
Proc. Amer. Math. Soc. 21 (1969), 139-144
DOI: https://doi.org/10.1090/S0002-9939-1969-0238364-7
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On the decomposition of infinitely divisible characteristic functions with continuous Poisson spectrum
Roger Cuppens
Proc. Amer. Math. Soc. 21 (1969), 145-152
DOI: https://doi.org/10.1090/S0002-9939-1969-0236971-9
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A characterization of cellular arcs in euclidean $3$-space
Francis D. Lonergan
Proc. Amer. Math. Soc. 21 (1969), 153-154
DOI: https://doi.org/10.1090/S0002-9939-1969-0239579-4
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On the connected identity component of the adèle-class group of an algebraic torus
Carl S. Weisman
Proc. Amer. Math. Soc. 21 (1969), 155-160
DOI: https://doi.org/10.1090/S0002-9939-1969-0244263-7
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Induced representations of Lie algebras. II
Nolan R. Wallach
Proc. Amer. Math. Soc. 21 (1969), 161-166
DOI: https://doi.org/10.1090/S0002-9939-1969-0237590-0
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The order of the antipode of a Hopf algebra
Richard Gustavus Larson
Proc. Amer. Math. Soc. 21 (1969), 167-170
DOI: https://doi.org/10.1090/S0002-9939-1969-0240170-4
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On the endomorphism ring of a simple module over an enveloping algebra
Daniel Quillen
Proc. Amer. Math. Soc. 21 (1969), 171-172
DOI: https://doi.org/10.1090/S0002-9939-1969-0238892-4
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A note on cover and avoidance properties in solvable groups
S. Bauman
Proc. Amer. Math. Soc. 21 (1969), 173-174
DOI: https://doi.org/10.1090/S0002-9939-1969-0238950-4
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On cohomology groups of Banach algebras
Wei-lung Ting
Proc. Amer. Math. Soc. 21 (1969), 175-178
DOI: https://doi.org/10.1090/S0002-9939-1969-0246123-4
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On two variable equations in free groups
K. I. Appel
Proc. Amer. Math. Soc. 21 (1969), 179-184
DOI: https://doi.org/10.1090/S0002-9939-1969-0257193-1
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Groups having at most three irreducible character degrees
I. M. Isaacs
Proc. Amer. Math. Soc. 21 (1969), 185-188
DOI: https://doi.org/10.1090/S0002-9939-1969-0236275-4
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A certain class of identities on semigroups
J. L. Chrislock
Proc. Amer. Math. Soc. 21 (1969), 189-190
DOI: https://doi.org/10.1090/S0002-9939-1969-0237673-5
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On the compactness of the structure space of a ring
Wuhan Lee
Proc. Amer. Math. Soc. 21 (1969), 191-193
DOI: https://doi.org/10.1090/S0002-9939-1969-0237579-1
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Extending Ulm’s theorem without group theory
Fred Richman and Elbert Walker
Proc. Amer. Math. Soc. 21 (1969), 194-196
DOI: https://doi.org/10.1090/S0002-9939-1969-0240201-1
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Concerning a conjecture of Marshall Hall
Richard Sinkhorn
Proc. Amer. Math. Soc. 21 (1969), 197-201
DOI: https://doi.org/10.1090/S0002-9939-1969-0241440-6
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The general product of two finitely generated abelian groups
Eugene Schenkman
Proc. Amer. Math. Soc. 21 (1969), 202-204
DOI: https://doi.org/10.1090/S0002-9939-1969-0236268-7
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On semiperfect and perfect rings
F. L. Sandomierski
Proc. Amer. Math. Soc. 21 (1969), 205-207
DOI: https://doi.org/10.1090/S0002-9939-1969-0237567-5
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Watts cohomology of field extensions
Newcomb Greenleaf
Proc. Amer. Math. Soc. 21 (1969), 208-210
DOI: https://doi.org/10.1090/S0002-9939-1969-0240168-6
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Extended Malcev domains
R. E. Johnson
Proc. Amer. Math. Soc. 21 (1969), 211-213
DOI: https://doi.org/10.1090/S0002-9939-1969-0237676-0
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Indefinite quadratic forms of determinant $\pm 2p$
D. G. James
Proc. Amer. Math. Soc. 21 (1969), 214-218
DOI: https://doi.org/10.1090/S0002-9939-1969-0237539-0
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Note on nonlinear contraction semigroups
Isao Miyadera
Proc. Amer. Math. Soc. 21 (1969), 219-225
DOI: https://doi.org/10.1090/S0002-9939-1969-0238123-5
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Sheaf cohomology with bounds and bounded holomorphic functions
Yum-tong Siu
Proc. Amer. Math. Soc. 21 (1969), 226-229
DOI: https://doi.org/10.1090/S0002-9939-1969-0237827-8
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On a cohomology theory for pairs of groups
Luis Ribes
Proc. Amer. Math. Soc. 21 (1969), 230-234
DOI: https://doi.org/10.1090/S0002-9939-1969-0236266-3
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Separating points by semicharacters in topological semigroups
John W. Baker and Neal J. Rothman
Proc. Amer. Math. Soc. 21 (1969), 235-239
DOI: https://doi.org/10.1090/S0002-9939-1969-0236301-2
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A semigroup analogue of Foguel’s counterexample
Edward W. Packel
Proc. Amer. Math. Soc. 21 (1969), 240-244
DOI: https://doi.org/10.1090/S0002-9939-1969-0238124-7
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On uniformly approximable Sidon sets
R. W. Chaney
Proc. Amer. Math. Soc. 21 (1969), 245-249
DOI: https://doi.org/10.1090/S0002-9939-1969-0239358-8
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A note on $”nth$ roots of operators”
M. Finkelstein and A. Lebow
Proc. Amer. Math. Soc. 21 (1969), 250
DOI: https://doi.org/10.1090/S0002-9939-1969-0242003-9
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Every operator is the sum of two irreducible ones
Heydar Radjavi
Proc. Amer. Math. Soc. 21 (1969), 251-252
DOI: https://doi.org/10.1090/S0002-9939-1969-0238112-0
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A complete and countable orthomodular lattice is atomic
Charles H. Randall
Proc. Amer. Math. Soc. 21 (1969), 253
DOI: https://doi.org/10.1090/S0002-9939-1969-0236076-7
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A historical note on complex quadratic fields with class-number one.
H. M. Stark
Proc. Amer. Math. Soc. 21 (1969), 254-255
DOI: https://doi.org/10.1090/S0002-9939-1969-0237461-X
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The set of irreducible operators is dense
Heydar Radjavi and Peter Rosenthal
Proc. Amer. Math. Soc. 21 (1969), 256
DOI: https://doi.org/10.1090/S0002-9939-1969-0236748-4
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