Proceedings of the American Mathematical Society

Contents of Volume 12, Number 1
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The orbit spaces of totally disconnected groups of transformations on manifolds

Frank Raymond

Proc. Amer. Math. Soc. 12 (1961), 1-7

DOI: https://doi.org/10.1090/S0002-9939-1961-0141730-4

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An extension of Banach’s contraction principle

Michael Edelstein

Proc. Amer. Math. Soc. 12 (1961), 7-10

DOI: https://doi.org/10.1090/S0002-9939-1961-0120625-6

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On the finite dimensionality of every irreducible unitary representation of a compact group

Leopoldo Nachbin

Proc. Amer. Math. Soc. 12 (1961), 11-12

DOI: https://doi.org/10.1090/S0002-9939-1961-0123197-5

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A set is a $3$ cell if its cartesian product with an arc is a $4$ cell

R. H. Bing

Proc. Amer. Math. Soc. 12 (1961), 13-19

DOI: https://doi.org/10.1090/S0002-9939-1961-0123303-2

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On the kernel of a topological semigroup with cut points

Yatarō Matsushima

Proc. Amer. Math. Soc. 12 (1961), 20-23

DOI: https://doi.org/10.1090/S0002-9939-1961-0120317-3

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On the realizability of singular cohomology groups

Daniel M. Kan and George W. Whitehead

Proc. Amer. Math. Soc. 12 (1961), 24-25

DOI: https://doi.org/10.1090/S0002-9939-1961-0123319-6

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Torus bundles over a torus

R. S. Palais and T. E. Stewart

Proc. Amer. Math. Soc. 12 (1961), 26-29

DOI: https://doi.org/10.1090/S0002-9939-1961-0123638-3

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An equicontinuity condition in topological dynamics

John D. Baum

Proc. Amer. Math. Soc. 12 (1961), 30-32

DOI: https://doi.org/10.1090/S0002-9939-1961-0120631-1

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Normal vector fields on manifolds

W. S. Massey

Proc. Amer. Math. Soc. 12 (1961), 33-40

DOI: https://doi.org/10.1090/S0002-9939-1961-0124914-0

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Note on a topology of a dual space

Morikuni Goto

Proc. Amer. Math. Soc. 12 (1961), 41-46

DOI: https://doi.org/10.1090/S0002-9939-1961-0125898-1

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A fundamental theorem on decompositions of the sphere into points and tame arcs

Kyung Whan Kwun

Proc. Amer. Math. Soc. 12 (1961), 47-50

DOI: https://doi.org/10.1090/S0002-9939-1961-0120610-4

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Logarithmically exact differential forms

Richard S. Palais

Proc. Amer. Math. Soc. 12 (1961), 50-52

DOI: https://doi.org/10.1090/S0002-9939-1961-0123339-1

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The coefficient problem of regular functions

Jun-iti Itô

Proc. Amer. Math. Soc. 12 (1961), 53-60

DOI: https://doi.org/10.1090/S0002-9939-1961-0121494-0

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On the field of values of a matrix

Louis Brickman

Proc. Amer. Math. Soc. 12 (1961), 61-66

DOI: https://doi.org/10.1090/S0002-9939-1961-0122827-1

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Functions harmonic in a strip

D. V. Widder

Proc. Amer. Math. Soc. 12 (1961), 67-72

DOI: https://doi.org/10.1090/S0002-9939-1961-0132838-8

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Summability-preserving functions

Edward C. Posner

Proc. Amer. Math. Soc. 12 (1961), 73-76

DOI: https://doi.org/10.1090/S0002-9939-1961-0121591-X

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Extremal elements of a convex cone of subadditive functions

E. K. McLachlan

Proc. Amer. Math. Soc. 12 (1961), 77-83

DOI: https://doi.org/10.1090/S0002-9939-1961-0120333-1

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Families of solutions of a perturbation problem

Jane Cronin

Proc. Amer. Math. Soc. 12 (1961), 84-91

DOI: https://doi.org/10.1090/S0002-9939-1961-0131017-8

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Quotient groups of reduced Abelian groups

Elbert A. Walker

Proc. Amer. Math. Soc. 12 (1961), 91-92

DOI: https://doi.org/10.1090/S0002-9939-1961-0122873-8

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On isometric equivalence of certain Volterra operators

G. K. Kalisch

Proc. Amer. Math. Soc. 12 (1961), 93-98

DOI: https://doi.org/10.1090/S0002-9939-1961-0120507-X

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The nonexistence of projections from $L^{1}$ to $H^{1}$

D. J. Newman

Proc. Amer. Math. Soc. 12 (1961), 98-99

DOI: https://doi.org/10.1090/S0002-9939-1961-0120524-X

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Solutions of linear differential systems satisfying boundary conditions in the large

J. B. Garner and L. P. Burton

Proc. Amer. Math. Soc. 12 (1961), 100-106

DOI: https://doi.org/10.1090/S0002-9939-1961-0121532-5

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A Moore space on which every real-valued continuous function is constant

Steve Armentrout

Proc. Amer. Math. Soc. 12 (1961), 106-109

DOI: https://doi.org/10.1090/S0002-9939-1961-0120615-3

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Note on polyharmonic functions

R. J. Duffin and Z. Nehari

Proc. Amer. Math. Soc. 12 (1961), 110-115

DOI: https://doi.org/10.1090/S0002-9939-1961-0141793-6

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Approximately continuous transformations

Casper Goffman and Daniel Waterman

Proc. Amer. Math. Soc. 12 (1961), 116-121

DOI: https://doi.org/10.1090/S0002-9939-1961-0120327-6

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The preservation of convergence of measurable functions under composition

Robert G. Bartle and James T. Joichi

Proc. Amer. Math. Soc. 12 (1961), 122-126

DOI: https://doi.org/10.1090/S0002-9939-1961-0120342-2

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Relations between function spaces

G. G. Lorentz

Proc. Amer. Math. Soc. 12 (1961), 127-132

DOI: https://doi.org/10.1090/S0002-9939-1961-0123182-3

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On the radical of a group algebra

D. A. R. Wallace

Proc. Amer. Math. Soc. 12 (1961), 133-137

DOI: https://doi.org/10.1090/S0002-9939-1961-0121408-3

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On a conjecture of Koch

R. P. Hunter

Proc. Amer. Math. Soc. 12 (1961), 138-139

DOI: https://doi.org/10.1090/S0002-9939-1961-0120315-X

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A natural linear ordering of basic commutators

Hermann V. Waldinger

Proc. Amer. Math. Soc. 12 (1961), 140-147

DOI: https://doi.org/10.1090/S0002-9939-1961-0144945-4

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On a theorem of Iwasawa

Paul M. Weichsel

Proc. Amer. Math. Soc. 12 (1961), 148-150

DOI: https://doi.org/10.1090/S0002-9939-1961-0120281-7

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On flexible power-associative algebras of degree two

Robert H. Oehmke

Proc. Amer. Math. Soc. 12 (1961), 151-158

DOI: https://doi.org/10.1090/S0002-9939-1961-0136635-9

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A note on constructive methods in Banach algebras

Paul J. Cohen

Proc. Amer. Math. Soc. 12 (1961), 159-163

DOI: https://doi.org/10.1090/S0002-9939-1961-0124515-4

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On a quadratic Diophantine inequality

Fred Supnick

Proc. Amer. Math. Soc. 12 (1961), 164-173

DOI: https://doi.org/10.1090/S0002-9939-1961-0123536-5

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Subgroups of the unimodular group

Irving Reiner

Proc. Amer. Math. Soc. 12 (1961), 173-174

DOI: https://doi.org/10.1090/S0002-9939-1961-0120287-8

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