Contents of Volume 51, Number 1

All articles in this issue are freely accessible.

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Unitary harmonic numbers

Peter Hagis and Graham Lord.
Proc. Amer. Math. Soc. 51 (1975), 1-7
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MathSciNet review: 0369231

Higher derivations on finitely generated integral domains. II

William C. Brown.
Proc. Amer. Math. Soc. 51 (1975), 8-14
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MathSciNet review: 0376644

Conditions on a compact connected Lie group which insure a “Weyl character formula”

Jack M. Shapiro.
Proc. Amer. Math. Soc. 51 (1975), 15-18
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MathSciNet review: 0367117

Hilbert-Samuel functions of Cohen-Macaulay rings

M. Boratyński and J. Święcicka.
Proc. Amer. Math. Soc. 51 (1975), 19-24
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MathSciNet review: 0432630

The map of the Witt ring of a domain into the Witt ring of its field of fractions

Thomas C. Craven, Alex Rosenberg and Roger Ware.
Proc. Amer. Math. Soc. 51 (1975), 25-30
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MathSciNet review: 0384789

Schur indices and sums of squares

Burton Fein.
Proc. Amer. Math. Soc. 51 (1975), 31-34
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MathSciNet review: 0374249

Zero divisors in tensor products of division algebras

Lawence J. Risman.
Proc. Amer. Math. Soc. 51 (1975), 35-36
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MathSciNet review: 0374101

Groups with faithful blocks

H. Pahlings.
Proc. Amer. Math. Soc. 51 (1975), 37-40
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MathSciNet review: 0367042

On matrix approximation

Shmuel Friedland.
Proc. Amer. Math. Soc. 51 (1975), 41-43
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MathSciNet review: 0371052

Hyponormal operators with infinite essential spectrum

Hong W. Kim.
Proc. Amer. Math. Soc. 51 (1975), 44-48
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MathSciNet review: 0374974

On the growth of solutions in the oscillatory case

Robert M. Kauffman.
Proc. Amer. Math. Soc. 51 (1975), 49-54
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MathSciNet review: 0374559

Gaps in the essential spectrum for second order systems

Robert M. Kauffman.
Proc. Amer. Math. Soc. 51 (1975), 55-61
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MathSciNet review: 0374560

Smooth interpolating curves of prescribed length and minimum curvature

Joseph W. Jerome.
Proc. Amer. Math. Soc. 51 (1975), 62-66
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MathSciNet review: 0380551

Oscillation criteria for second order nonlinear differential equations

Hiroshi Onose.
Proc. Amer. Math. Soc. 51 (1975), 67-73
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MathSciNet review: 0369813

Isolated points of the spectra of conservative matrices

N. K. Sharma.
Proc. Amer. Math. Soc. 51 (1975), 74-78
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MathSciNet review: 0372461

Higher order estimates and smoothness of nonlinear wave equations

Michael C. Reed.
Proc. Amer. Math. Soc. 51 (1975), 79-85
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MathSciNet review: 0377238

A locally compact nonparacompact space for which the strict topology is Mackey

Robert F. Wheeler.
Proc. Amer. Math. Soc. 51 (1975), 86-90
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MathSciNet review: 0412783

A fixed point criterion for compact $T_{2}$-spaces

Louis A. Talman.
Proc. Amer. Math. Soc. 51 (1975), 91-93
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MathSciNet review: 0370549

Analytic domination by fractional powers with linear estimates

Alan D. Sloan.
Proc. Amer. Math. Soc. 51 (1975), 94-96
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MathSciNet review: 0367696

On the sum of Darboux functions

A. M. Bruckner and J. Ceder.
Proc. Amer. Math. Soc. 51 (1975), 97-102
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MathSciNet review: 0387507

Nonlinear Volterra integral equations with positive definite kernels

Olof J. Staffans.
Proc. Amer. Math. Soc. 51 (1975), 103-108
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MathSciNet review: 0370081

Univalent functions with negative coefficients

Herb Silverman.
Proc. Amer. Math. Soc. 51 (1975), 109-116
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MathSciNet review: 0369678

Characterizations of bounded mean oscillation

Stephen Jay Berman.
Proc. Amer. Math. Soc. 51 (1975), 117-122
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MathSciNet review: 0374805

Convex combinations of uniformly mean stable Markov operators

Robert Sine.
Proc. Amer. Math. Soc. 51 (1975), 123-126
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MathSciNet review: 0374943

Spectra of compact composition operators

James G. Caughran and Howard J. Schwartz.
Proc. Amer. Math. Soc. 51 (1975), 127-130
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MathSciNet review: 0377579

Oscillation and comparison for second order differential equations

Keith Schrader.
Proc. Amer. Math. Soc. 51 (1975), 131-136
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MathSciNet review: 0372336

Uniform absolute continuity in spaces of set functions

James D. Stein.
Proc. Amer. Math. Soc. 51 (1975), 137-140
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MathSciNet review: 0440012

Strong regularity at nonpeak points

James Li Ming Wang.
Proc. Amer. Math. Soc. 51 (1975), 141-142
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MathSciNet review: 0370202

Weighted norm inequalities for fractional integrals

G. V. Welland.
Proc. Amer. Math. Soc. 51 (1975), 143-148
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MathSciNet review: 0369641

On the Cauchy problem of the differential operator $S𝜇$

W. Y. Lee.
Proc. Amer. Math. Soc. 51 (1975), 149-154
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MathSciNet review: 0369892

Preservation of uniform asymptotic stability under perturbations

R. K. Miller.
Proc. Amer. Math. Soc. 51 (1975), 155-158
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MathSciNet review: 0372563

Compact operators in the algebra generated by essentially unitary $C_{0}$ operators

Eric A. Nordgren.
Proc. Amer. Math. Soc. 51 (1975), 159-162
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MathSciNet review: 0370222

The monad system of the finest compatible uniform structure

C. Ward Henson.
Proc. Amer. Math. Soc. 51 (1975), 163-170
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MathSciNet review: 0370552

Homomorphic images of $𝜎$-complete Boolean algebras

Sabine Koppelberg.
Proc. Amer. Math. Soc. 51 (1975), 171-175
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MathSciNet review: 0376475

Axiom of choice and complementation

Radu Diaconescu.
Proc. Amer. Math. Soc. 51 (1975), 176-178
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MathSciNet review: 0373893

On infinitely divisible laws in $C[0,1]$

Aloisio Pessoa De Araujo.
Proc. Amer. Math. Soc. 51 (1975), 179-185
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MathSciNet review: 0407918

Absolutely closed maps

Louis Friedler.
Proc. Amer. Math. Soc. 51 (1975), 186-190
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MathSciNet review: 0367898

A method of combining fixed points

Roger Waggoner.
Proc. Amer. Math. Soc. 51 (1975), 191-197
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MathSciNet review: 0402713

On homogeneous hereditarily unicoherent continua

G. R. Gordh.
Proc. Amer. Math. Soc. 51 (1975), 198-202
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MathSciNet review: 0375254

Nonnormal products of $𝜔_{𝜇}$-metrizable spaces

J. E. Vaughan.
Proc. Amer. Math. Soc. 51 (1975), 203-208
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MathSciNet review: 0370464

Minimal $N$-compact spaces

K. P. S. Bhaskara Rao and Asit Baran Raha.
Proc. Amer. Math. Soc. 51 (1975), 209-212
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MathSciNet review: 0375233

Remark on nilpotent orbits

Joseph A. Wolf.
Proc. Amer. Math. Soc. 51 (1975), 213-216
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MathSciNet review: 0422520

On the number of irreducible representations of degree $≤n$ of a Lie group

O. S. Rothaus.
Proc. Amer. Math. Soc. 51 (1975), 217-220
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MathSciNet review: 0382550

Closed mappings of $𝜎$-locally compact metric spaces

S. A. Stricklen.
Proc. Amer. Math. Soc. 51 (1975), 221-224
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MathSciNet review: 0377805

Products of Steiner’s quasi-proximity spaces

E. Hayashi.
Proc. Amer. Math. Soc. 51 (1975), 225-230
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MathSciNet review: 0370512

Monotone real analytic maps which are not homeomorphisms

A. C. Hsu and J. G. Timourian.
Proc. Amer. Math. Soc. 51 (1975), 231-236
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MathSciNet review: 0370623

A note on proper maps

Chung Wu Ho.
Proc. Amer. Math. Soc. 51 (1975), 237-241
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MathSciNet review: 0370471

Applications of graph theory to matrix theory

Frank W. Owens.
Proc. Amer. Math. Soc. 51 (1975), 242-249
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MathSciNet review: 0376708

Everywhere differentiable functions and the density topology

Casper Goffman.
Proc. Amer. Math. Soc. 51 (1975), 250
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MathSciNet review: 0367124

Erratum to: “On the order of some error functions related to $k$-free integers” (Proc. Amer. Math. Soc. 35 (1972), 325–332)

V. S. Joshi.
Proc. Amer. Math. Soc. 51 (1975), 251-252
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MathSciNet review: 0389795