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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 81, Number 1
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$K$-theory of Azumaya algebras
Charles A. Weibel
Proc. Amer. Math. Soc. 81 (1981), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1981-0589125-6
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A new proof of a result of Levitzki
Abraham A. Klein
Proc. Amer. Math. Soc. 81 (1981), 8
DOI: https://doi.org/10.1090/S0002-9939-1981-0589126-8
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Finitely convergent and concentric semigroups
M. Satyanarayana
Proc. Amer. Math. Soc. 81 (1981), 9-13
DOI: https://doi.org/10.1090/S0002-9939-1981-0589127-X
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Quotients of valuated vector spaces
Paul Hill
Proc. Amer. Math. Soc. 81 (1981), 14-18
DOI: https://doi.org/10.1090/S0002-9939-1981-0589128-1
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Another graded algebra with a nonrational Hilbert series
Yuji Kobayashi
Proc. Amer. Math. Soc. 81 (1981), 19-22
DOI: https://doi.org/10.1090/S0002-9939-1981-0589129-3
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An additive representation for real functions on the product of a set and a lattice
W. J. R. Eplett
Proc. Amer. Math. Soc. 81 (1981), 23-26
DOI: https://doi.org/10.1090/S0002-9939-1981-0589130-X
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Rationally varying polarizing subalgebras in nilpotent Lie algebras
Lawrence Corwin and Frederick P. Greenleaf
Proc. Amer. Math. Soc. 81 (1981), 27-32
DOI: https://doi.org/10.1090/S0002-9939-1981-0589131-1
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An upper bound for the sum of large differences between prime numbers
R. J. Cook
Proc. Amer. Math. Soc. 81 (1981), 33-40
DOI: https://doi.org/10.1090/S0002-9939-1981-0589132-3
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Generalised Lipschitz class of functions and the absolute summability of Fourier series by Nörlund means
S. N. Lal and K. N. Singh
Proc. Amer. Math. Soc. 81 (1981), 41-49
DOI: https://doi.org/10.1090/S0002-9939-1981-0589133-5
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Spectral multiplicity for tensor products of normal operators
Edward A. Azoff
Proc. Amer. Math. Soc. 81 (1981), 50-54
DOI: https://doi.org/10.1090/S0002-9939-1981-0589134-7
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A characterization of minimal homogeneous Banach spaces
Hans G. Feichtinger
Proc. Amer. Math. Soc. 81 (1981), 55-61
DOI: https://doi.org/10.1090/S0002-9939-1981-0589135-9
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Uniform approximation by rational modules on nowhere dense sets
Tavan Trent and James Li Ming Wang
Proc. Amer. Math. Soc. 81 (1981), 62-64
DOI: https://doi.org/10.1090/S0002-9939-1981-0589136-0
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A lower bound for the fundamental frequency of a convex region
M. H. Protter
Proc. Amer. Math. Soc. 81 (1981), 65-70
DOI: https://doi.org/10.1090/S0002-9939-1981-0589137-2
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On the fixed-point theory for local $k$-pseudocontractions
Claudio Morales
Proc. Amer. Math. Soc. 81 (1981), 71-74
DOI: https://doi.org/10.1090/S0002-9939-1981-0589138-4
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A Sturm theorem for partial differential equations of mixed type
Kurt Kreith
Proc. Amer. Math. Soc. 81 (1981), 75-78
DOI: https://doi.org/10.1090/S0002-9939-1981-0589139-6
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On compact multipliers of Banach algebras
Herbert Kamowitz
Proc. Amer. Math. Soc. 81 (1981), 79-80
DOI: https://doi.org/10.1090/S0002-9939-1981-0589140-2
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On the weak Radon-Nikodým property
Nassif Ghoussoub and Elias Saab
Proc. Amer. Math. Soc. 81 (1981), 81-84
DOI: https://doi.org/10.1090/S0002-9939-1981-0589141-4
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On extending the Lebesgue integral
James Foran
Proc. Amer. Math. Soc. 81 (1981), 85-88
DOI: https://doi.org/10.1090/S0002-9939-1981-0589142-6
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An elementary proof of the Stone-Weierstrass theorem
Bruno Brosowski and Frank Deutsch
Proc. Amer. Math. Soc. 81 (1981), 89-92
DOI: https://doi.org/10.1090/S0002-9939-1981-0589143-8
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Dans un espace de Banach reticulé solide, la propriété de Radon-Nikodým et celle de Kreĭn-Mil′man sont équivalentes
Jean Bourgain and Michel Talagrand
Proc. Amer. Math. Soc. 81 (1981), 93-96
DOI: https://doi.org/10.1090/S0002-9939-1981-0589144-X
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Another $q$-extension of the beta function
George E. Andrews and Richard Askey
Proc. Amer. Math. Soc. 81 (1981), 97-100
DOI: https://doi.org/10.1090/S0002-9939-1981-0589145-1
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Integral identities of norms and characterization of inner product spaces
Časlav V. Stanojević and Ana M. Suchanek
Proc. Amer. Math. Soc. 81 (1981), 101-103
DOI: https://doi.org/10.1090/S0002-9939-1981-0589146-3
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Some properties of closed $1$-forms on a special Riemannian manifold
Gr. Tsagas
Proc. Amer. Math. Soc. 81 (1981), 104-106
DOI: https://doi.org/10.1090/S0002-9939-1981-0589147-5
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Characterization of conditional expectation operators for Banach-valued functions
D. Landers and L. Rogge
Proc. Amer. Math. Soc. 81 (1981), 107-110
DOI: https://doi.org/10.1090/S0002-9939-1981-0589148-7
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Simple homotopy types for $(G, m)$-complexes
Micheal N. Dyer
Proc. Amer. Math. Soc. 81 (1981), 111-115
DOI: https://doi.org/10.1090/S0002-9939-1981-0589149-9
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Product spaces in locales
John Isbell
Proc. Amer. Math. Soc. 81 (1981), 116-118
DOI: https://doi.org/10.1090/S0002-9939-1981-0589150-5
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On insertion of a continuous function
M. Powderly
Proc. Amer. Math. Soc. 81 (1981), 119-120
DOI: https://doi.org/10.1090/S0002-9939-1981-0589151-7
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Some properties of $H$-spaces of rank $2$
C. A. McGibbon
Proc. Amer. Math. Soc. 81 (1981), 121-124
DOI: https://doi.org/10.1090/S0002-9939-1981-0589152-9
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On the two-realizability of chain complexes
Sushil Jajodia
Proc. Amer. Math. Soc. 81 (1981), 125-128
DOI: https://doi.org/10.1090/S0002-9939-1981-0589153-0
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$\sigma$-coherent continua are hereditarily locally connected
M. R. Hagan and W. S. Mahavier
Proc. Amer. Math. Soc. 81 (1981), 129-132
DOI: https://doi.org/10.1090/S0002-9939-1981-0589154-2
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A remarkable simple closed curve: revisited
O. G. Harrold
Proc. Amer. Math. Soc. 81 (1981), 133-136
DOI: https://doi.org/10.1090/S0002-9939-1981-0589155-4
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Spaces with dense conditionally compact subsets
Andrew J. Berner
Proc. Amer. Math. Soc. 81 (1981), 137-142
DOI: https://doi.org/10.1090/S0002-9939-1981-0589156-6
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Further divisibility properties of the $q$-tangent numbers
Dominique Foata
Proc. Amer. Math. Soc. 81 (1981), 143-148
DOI: https://doi.org/10.1090/S0002-9939-1981-0589157-8
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A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space
Jorge Vargas
Proc. Amer. Math. Soc. 81 (1981), 149-150
DOI: https://doi.org/10.1090/S0002-9939-1981-0589158-X
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Pseudocompact metacompact spaces are compact
W. Stephen Watson
Proc. Amer. Math. Soc. 81 (1981), 151-152
DOI: https://doi.org/10.1090/S0002-9939-1981-0589159-1
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Cartan matrices, finite groups of quaternions, and Kleinian singularities
John McKay
Proc. Amer. Math. Soc. 81 (1981), 153-154
DOI: https://doi.org/10.1090/S0002-9939-1981-0589160-8
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A variant of the chain rule for differential calculus
Richard A. Graff
Proc. Amer. Math. Soc. 81 (1981), 155-156
DOI: https://doi.org/10.1090/S0002-9939-1981-0589161-X
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