Proceedings of the American Mathematical Society

Contents of Volume 17, Number 1
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Note on an irrational power series

H. Davenport

Proc. Amer. Math. Soc. 17 (1966), 1-5

DOI: https://doi.org/10.1090/S0002-9939-1966-0190087-6

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A mean value theorem for the heat equation

W. Fulks

Proc. Amer. Math. Soc. 17 (1966), 6-11

DOI: https://doi.org/10.1090/S0002-9939-1966-0192200-3

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Convergence of positive functions in the space of Mikusiński operators

T. K. Boehme

Proc. Amer. Math. Soc. 17 (1966), 12-17

DOI: https://doi.org/10.1090/S0002-9939-1966-0187022-3

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Enclosure theorems for eigenvalues of elliptic operators

C. A. Swanson

Proc. Amer. Math. Soc. 17 (1966), 18-25

DOI: https://doi.org/10.1090/S0002-9939-1966-0190528-4

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Upper bounds for a Bloch constant

Pou-shun Chiang and A. J. Macintyre

Proc. Amer. Math. Soc. 17 (1966), 26-31

DOI: https://doi.org/10.1090/S0002-9939-1966-0188445-9

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Some inequalities for hypergeometric functions

B. C. Carlson

Proc. Amer. Math. Soc. 17 (1966), 32-39

DOI: https://doi.org/10.1090/S0002-9939-1966-0188497-6

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On the asymptotic growth of solutions to a nonlinear equation

S. P. Hastings

Proc. Amer. Math. Soc. 17 (1966), 40-47

DOI: https://doi.org/10.1090/S0002-9939-1966-0190457-6

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Exponential solutions of linear systems of differential equations whose coefficient matrix is skew symmetric

Irving J. Epstein

Proc. Amer. Math. Soc. 17 (1966), 48-54

DOI: https://doi.org/10.1090/S0002-9939-1966-0200389-2

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On the solutions of the differential equation $y^{”}+p^{2}y=0$

E. J. McShane

Proc. Amer. Math. Soc. 17 (1966), 55-61

DOI: https://doi.org/10.1090/S0002-9939-1966-0188553-2

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On a result of Nehari

James A. Jenkins

Proc. Amer. Math. Soc. 17 (1966), 62-66

DOI: https://doi.org/10.1090/S0002-9939-1966-0188427-7

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Convergence of $i^{i^{}i\cdots }$

A. J. Macintyre

Proc. Amer. Math. Soc. 17 (1966), 67

DOI: https://doi.org/10.1090/S0002-9939-1966-0188417-4

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A note on the identification of linear systems

Richard Bellman

Proc. Amer. Math. Soc. 17 (1966), 68-71

DOI: https://doi.org/10.1090/S0002-9939-1966-0193314-4

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A Volterra equation with a very singular kernel

E. L. Roetman

Proc. Amer. Math. Soc. 17 (1966), 71-75

DOI: https://doi.org/10.1090/S0002-9939-1966-0188734-8

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Two elementary theorems on the interpolation of linear operators

Richard O’Neil

Proc. Amer. Math. Soc. 17 (1966), 76-82

DOI: https://doi.org/10.1090/S0002-9939-1966-0185445-X

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Extension of functionals and inequalities on an abelian semi-group

Robert Kaufman

Proc. Amer. Math. Soc. 17 (1966), 83-85

DOI: https://doi.org/10.1090/S0002-9939-1966-0185028-1

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On pure states of $C^{\ast }$-algebras

Shôichirô Sakai

Proc. Amer. Math. Soc. 17 (1966), 86-87

DOI: https://doi.org/10.1090/S0002-9939-1966-0188817-2

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A complementary triangle inequality in Hilbert and Banach spaces

J. B. Diaz and F. T. Metcalf

Proc. Amer. Math. Soc. 17 (1966), 88-97

DOI: https://doi.org/10.1090/S0002-9939-1966-0188748-8

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On the structure of representations of continuous functions of several variables as finite sums of continuous functions of one variable

David A. Sprecher

Proc. Amer. Math. Soc. 17 (1966), 98-105

DOI: https://doi.org/10.1090/S0002-9939-1966-0194565-5

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Isomorphism types of index sets of partial recursive functions

Louise Hay

Proc. Amer. Math. Soc. 17 (1966), 106-110

DOI: https://doi.org/10.1090/S0002-9939-1966-0186541-3

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Elementary proof of Hu’s theorem on isotone mappings

N. C. Hsu

Proc. Amer. Math. Soc. 17 (1966), 111-114

DOI: https://doi.org/10.1090/S0002-9939-1966-0188112-1

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The Baire classification of ordinary and approximate partial derivatives

Larry E. Snyder

Proc. Amer. Math. Soc. 17 (1966), 115-123

DOI: https://doi.org/10.1090/S0002-9939-1966-0186768-0

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Tensor products of locally convex algebras

Harvey A. Smith

Proc. Amer. Math. Soc. 17 (1966), 124-132

DOI: https://doi.org/10.1090/S0002-9939-1966-0188818-4

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Square roots in Banach algebras

L. Terrell Gardner

Proc. Amer. Math. Soc. 17 (1966), 132-134

DOI: https://doi.org/10.1090/S0002-9939-1966-0188815-9

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Inclusion relations among Orlicz spaces

Robert Welland

Proc. Amer. Math. Soc. 17 (1966), 135-139

DOI: https://doi.org/10.1090/S0002-9939-1966-0188773-7

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On a combinatorial problem of Erdős

D. Kleitman

Proc. Amer. Math. Soc. 17 (1966), 139-141

DOI: https://doi.org/10.1090/S0002-9939-1966-0184866-9

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Nonexistence of quasi-invariant measures on infinite-dimensional linear spaces

Jacob Feldman

Proc. Amer. Math. Soc. 17 (1966), 142-146

DOI: https://doi.org/10.1090/S0002-9939-1966-0190292-9

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A note on the recursive unsolvability of primitive recursive arithmetic

Richard E. Grandy

Proc. Amer. Math. Soc. 17 (1966), 146-147

DOI: https://doi.org/10.1090/S0002-9939-1966-0189988-4

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Weak compactness in locally convex spaces

J. D. Pryce

Proc. Amer. Math. Soc. 17 (1966), 148-155

DOI: https://doi.org/10.1090/S0002-9939-1966-0190695-2

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Permanently optimal strategies in extensive games

W. H. Clingman

Proc. Amer. Math. Soc. 17 (1966), 156-161

DOI: https://doi.org/10.1090/S0002-9939-1966-0194206-7

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Spectra of tensor products of operators

Arlen Brown and Carl Pearcy

Proc. Amer. Math. Soc. 17 (1966), 162-166

DOI: https://doi.org/10.1090/S0002-9939-1966-0188786-5

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Kirzbraun’s theorem and Kolmogorov’s principle

Edward Silverman

Proc. Amer. Math. Soc. 17 (1966), 166-169

DOI: https://doi.org/10.1090/S0002-9939-1966-0186791-6

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On the Sheffer $A$-type of polynomials generated by $A(t)\psi [xB(t)]$

J. L. Goldberg

Proc. Amer. Math. Soc. 17 (1966), 170-173

DOI: https://doi.org/10.1090/S0002-9939-1966-0186842-9

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Another equivalent form of the axiom of choice

J. R. Isbell and F. B. Wright

Proc. Amer. Math. Soc. 17 (1966), 174

DOI: https://doi.org/10.1090/S0002-9939-1966-0186535-8

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Equivalence of connectivity maps and peripherally continuous transformations

Melvin R. Hagan

Proc. Amer. Math. Soc. 17 (1966), 175-177

DOI: https://doi.org/10.1090/S0002-9939-1966-0195063-5

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On the annulus conjecture

R. C. Kirby

Proc. Amer. Math. Soc. 17 (1966), 178-185

DOI: https://doi.org/10.1090/S0002-9939-1966-0192481-6

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Uncountably many different involutions of $S^{3}$

W. R. Alford

Proc. Amer. Math. Soc. 17 (1966), 186-196

DOI: https://doi.org/10.1090/S0002-9939-1966-0190911-7

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On complete lattices having the Hausdorff interval topology

Koichi Atsumi

Proc. Amer. Math. Soc. 17 (1966), 197-199

DOI: https://doi.org/10.1090/S0002-9939-1966-0187221-0

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The cone axiom implies the homotopy axiom

Ronald J. Knill

Proc. Amer. Math. Soc. 17 (1966), 200-201

DOI: https://doi.org/10.1090/S0002-9939-1966-0189018-4

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A property of $l_{p}$ spaces

J. R. Calder

Proc. Amer. Math. Soc. 17 (1966), 202-206

DOI: https://doi.org/10.1090/S0002-9939-1966-0190700-3

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A characterization of orbits

James W. England

Proc. Amer. Math. Soc. 17 (1966), 207-209

DOI: https://doi.org/10.1090/S0002-9939-1966-0185588-0

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A Schwarz lemma for bounded symmetric domains

Adam Korányi

Proc. Amer. Math. Soc. 17 (1966), 210-213

DOI: https://doi.org/10.1090/S0002-9939-1966-0199434-2

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A characterization of tame $2$-spheres in $E^{3}$

C. A. Persinger

Proc. Amer. Math. Soc. 17 (1966), 213-214

DOI: https://doi.org/10.1090/S0002-9939-1966-0189004-4

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Finite supersolvable wreath products

John R. Durbin

Proc. Amer. Math. Soc. 17 (1966), 215-218

DOI: https://doi.org/10.1090/S0002-9939-1966-0186734-5

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Partially ordered groups of the second and third kinds

A. H. Clifford

Proc. Amer. Math. Soc. 17 (1966), 219-225

DOI: https://doi.org/10.1090/S0002-9939-1966-0199282-3

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Permanents of direct products

Marvin Marcus

Proc. Amer. Math. Soc. 17 (1966), 226-231

DOI: https://doi.org/10.1090/S0002-9939-1966-0191910-1

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An estimate for the enumerative functions of certain sets of integers

R. L. Robinson

Proc. Amer. Math. Soc. 17 (1966), 232-237

DOI: https://doi.org/10.1090/S0002-9939-1966-0184915-8

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Antiflexible algebras which are not power-associative

D. J. Rodabaugh

Proc. Amer. Math. Soc. 17 (1966), 237-239

DOI: https://doi.org/10.1090/S0002-9939-1966-0186710-2

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Solvability of linear homogeneous difference equations by elementary operations

Charles H. Franke

Proc. Amer. Math. Soc. 17 (1966), 240-246

DOI: https://doi.org/10.1090/S0002-9939-1966-0190133-X

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Cyclic injective modules of full linear rings

B. L. Osofsky

Proc. Amer. Math. Soc. 17 (1966), 247-253

DOI: https://doi.org/10.1090/S0002-9939-1966-0190190-0

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An existence theorem for difference polynomials

R. M. Cohn

Proc. Amer. Math. Soc. 17 (1966), 254-261

DOI: https://doi.org/10.1090/S0002-9939-1966-0202711-X

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A note on the $p$-adic convergence of solutions of linear differential equations

D. N. Clark

Proc. Amer. Math. Soc. 17 (1966), 262-269

DOI: https://doi.org/10.1090/S0002-9939-1966-0186895-8

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Nilpotent elements in rings of integral representations

Irving Reiner

Proc. Amer. Math. Soc. 17 (1966), 270-274

DOI: https://doi.org/10.1090/S0002-9939-1966-0188306-5

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Note on analytically unramified semi-local rings

Louis J. Ratliff

Proc. Amer. Math. Soc. 17 (1966), 274-279

DOI: https://doi.org/10.1090/S0002-9939-1966-0186691-1

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Block idempotents of twisted group algebras

W. F. Reynolds

Proc. Amer. Math. Soc. 17 (1966), 280-282

DOI: https://doi.org/10.1090/S0002-9939-1966-0186742-4

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Examples of minimal parallel slit domains

Jirô Tamura, Kôtaro Oikawa and Keijiro Yamazaki

Proc. Amer. Math. Soc. 17 (1966), 283-284

DOI: https://doi.org/10.1090/S0002-9939-1966-0186805-3

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Successive differences of bounded sequences

D. J. Newman

Proc. Amer. Math. Soc. 17 (1966), 285-286

DOI: https://doi.org/10.1090/S0002-9939-1966-0188650-1

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