Proceedings of the American Mathematical Society

Contents of Volume 32, Number 1
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Conjugacy separability of groups of integer matrices

Peter F. Stebe

Proc. Amer. Math. Soc. 32 (1972), 1-7

DOI: https://doi.org/10.1090/S0002-9939-1972-0289666-X

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Jacobi’s bound for first order difference equations

Barbara A. Lando

Proc. Amer. Math. Soc. 32 (1972), 8-12

DOI: https://doi.org/10.1090/S0002-9939-1972-0289474-X

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A new result concerning the structure of odd perfect numbers

Peter Hagis and Wayne L. McDaniel

Proc. Amer. Math. Soc. 32 (1972), 13-15

DOI: https://doi.org/10.1090/S0002-9939-1972-0292740-5

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On semilocal $\textrm {OP}$-rings

Yukitoshi Hinohara

Proc. Amer. Math. Soc. 32 (1972), 16-20

DOI: https://doi.org/10.1090/S0002-9939-1972-0289502-1

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On the Frattini subgroup of the generalized free product with amalgamation

D. Ž. Djoković and C. Y. Tang

Proc. Amer. Math. Soc. 32 (1972), 21-23

DOI: https://doi.org/10.1090/S0002-9939-1972-0289656-7

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The hyperquasicenter of a finite group. II

N. P. Mukherjee

Proc. Amer. Math. Soc. 32 (1972), 24-28

DOI: https://doi.org/10.1090/S0002-9939-1972-0296155-5

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Hadamard designs

Edward Spence

Proc. Amer. Math. Soc. 32 (1972), 29-31

DOI: https://doi.org/10.1090/S0002-9939-1972-0299506-0

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On subalgebra lattices of universal algebras

A. A. Iskander

Proc. Amer. Math. Soc. 32 (1972), 32-36

DOI: https://doi.org/10.1090/S0002-9939-1972-0292733-8

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Elements of maximal order in finite $p$-groups

Guy T. Hogan

Proc. Amer. Math. Soc. 32 (1972), 37-41

DOI: https://doi.org/10.1090/S0002-9939-1972-0289645-2

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A simple proof of the quintuple product identity

L. Carlitz and M. V. Subbarao

Proc. Amer. Math. Soc. 32 (1972), 42-44

DOI: https://doi.org/10.1090/S0002-9939-1972-0289316-2

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Factorizations of nonnegative matrices

T. L. Markham

Proc. Amer. Math. Soc. 32 (1972), 45-47

DOI: https://doi.org/10.1090/S0002-9939-1972-0289539-2

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A condition for a finite group to be cyclic

J. H. E. Cohn

Proc. Amer. Math. Soc. 32 (1972), 48

DOI: https://doi.org/10.1090/S0002-9939-1972-0289623-3

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Regular modules

David J. Fieldhouse

Proc. Amer. Math. Soc. 32 (1972), 49-51

DOI: https://doi.org/10.1090/S0002-9939-1972-0292882-4

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Rings satisfying monomial identities

Mohan S. Putcha and Adil Yaqub

Proc. Amer. Math. Soc. 32 (1972), 52-56

DOI: https://doi.org/10.1090/S0002-9939-1972-0289569-0

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Structure of rings satisfying certain identities on commutators

Mohan S. Putcha, Robert S. Wilson and Adil Yaqub

Proc. Amer. Math. Soc. 32 (1972), 57-62

DOI: https://doi.org/10.1090/S0002-9939-1972-0291219-4

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Critically $n$-connected graphs

Gary Chartrand, Agnis Kaugars and Don R. Lick

Proc. Amer. Math. Soc. 32 (1972), 63-68

DOI: https://doi.org/10.1090/S0002-9939-1972-0290999-1

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The number of isotype and $l$-pure subgroups of an abelian $p$-group

Paul Hill

Proc. Amer. Math. Soc. 32 (1972), 69-74

DOI: https://doi.org/10.1090/S0002-9939-1972-0291282-0

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Cohomological dimension and global dimension of algebras

Joseph A. Wehlen

Proc. Amer. Math. Soc. 32 (1972), 75-80

DOI: https://doi.org/10.1090/S0002-9939-1972-0291226-1

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Left perfect rings that are right perfect and a characterization of Steinitz rings

William H. Rant

Proc. Amer. Math. Soc. 32 (1972), 81-84

DOI: https://doi.org/10.1090/S0002-9939-1972-0289571-9

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On self-injective group rings

G. R. Mason

Proc. Amer. Math. Soc. 32 (1972), 85-86

DOI: https://doi.org/10.1090/S0002-9939-1972-0292959-3

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A vanishing theorem for cohomology

J. L. Alperin and Daniel Gorenstein

Proc. Amer. Math. Soc. 32 (1972), 87-88

DOI: https://doi.org/10.1090/S0002-9939-1972-0291293-5

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A characterization of $p$-reductive Lie algebras

Robert Lee Wilson

Proc. Amer. Math. Soc. 32 (1972), 89-90

DOI: https://doi.org/10.1090/S0002-9939-1972-0291238-8

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On functions of bounded rotation

J. W. Noonan

Proc. Amer. Math. Soc. 32 (1972), 91-101

DOI: https://doi.org/10.1090/S0002-9939-1972-0291434-X

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Fubini theorems for Orlicz spaces of Lebesgue-Bochner measurable functions

Vernon Zander

Proc. Amer. Math. Soc. 32 (1972), 102-110

DOI: https://doi.org/10.1090/S0002-9939-1972-0291791-4

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Approximation of commuting transformations

M. A. Akcoglu and R. V. Chacon

Proc. Amer. Math. Soc. 32 (1972), 111-119

DOI: https://doi.org/10.1090/S0002-9939-1972-0289745-7

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Coercive inequalities for certain classes of bounded regions

James M. Newman

Proc. Amer. Math. Soc. 32 (1972), 120-126

DOI: https://doi.org/10.1090/S0002-9939-1972-0296480-8

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Bounded limits of analytic functions

A. M. Davie

Proc. Amer. Math. Soc. 32 (1972), 127-133

DOI: https://doi.org/10.1090/S0002-9939-1972-0293069-1

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Solutions of $(ry^{(n)})^{(n)} + qy = 0$ of class $\mathcal {L}_{p}[0, \infty )$

Don Hinton

Proc. Amer. Math. Soc. 32 (1972), 134-138

DOI: https://doi.org/10.1090/S0002-9939-1972-0288348-8

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Surfaces of revolution with monotonic increasing curvature and an application to the equation $\Delta u=1-K e^{2u}$ on $S^{2}$

Jerry L. Kazdan and Frank W. Warner

Proc. Amer. Math. Soc. 32 (1972), 139-141

DOI: https://doi.org/10.1090/S0002-9939-1972-0290309-X

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The abscissa of absolute summability of Laplace integrals

Godfrey L. Isaacs

Proc. Amer. Math. Soc. 32 (1972), 142-146

DOI: https://doi.org/10.1090/S0002-9939-1972-0290040-0

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Derivation of the Hopf-Cole solution to Burgers’ equation by stochastic integrals

S. I. Rosencrans

Proc. Amer. Math. Soc. 32 (1972), 147-149

DOI: https://doi.org/10.1090/S0002-9939-1972-0289953-5

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Simultaneous approximation and interpolation in $l_{1}$

Joseph M. Lambert

Proc. Amer. Math. Soc. 32 (1972), 150-152

DOI: https://doi.org/10.1090/S0002-9939-1972-0291706-9

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On the radius of convexity and starlikeness of univalent functions

S. K. Bajpai and R. S. L. Srivastava

Proc. Amer. Math. Soc. 32 (1972), 153-160

DOI: https://doi.org/10.1090/S0002-9939-1972-0294617-8

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Strongly dissipative operators and nonlinear equations in a Fréchet space

R. H. Martin

Proc. Amer. Math. Soc. 32 (1972), 161-168

DOI: https://doi.org/10.1090/S0002-9939-1972-0295163-8

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The Wiener closure theorems for abstract Wiener spaces

J. Kuelbs and V. Mandrekar

Proc. Amer. Math. Soc. 32 (1972), 169-178

DOI: https://doi.org/10.1090/S0002-9939-1972-0293053-8

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Generating functions for Jacobi and related polynomials

I. A. Khan

Proc. Amer. Math. Soc. 32 (1972), 179-186

DOI: https://doi.org/10.1090/S0002-9939-1972-0348161-X

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The convergence of rational functions of best approximation to the exponential function. II

E. B. Saff

Proc. Amer. Math. Soc. 32 (1972), 187-194

DOI: https://doi.org/10.1090/S0002-9939-1972-0294656-7

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Bounded, conservative, linear operators and the maximal group

E. P. Kelly and D. A. Hogan

Proc. Amer. Math. Soc. 32 (1972), 195-200

DOI: https://doi.org/10.1090/S0002-9939-1972-0290136-3

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On integrable and bounded automorphic forms. II

T. A. Metzger and K. V. Rajeswara Rao

Proc. Amer. Math. Soc. 32 (1972), 201-204

DOI: https://doi.org/10.1090/S0002-9939-1972-0293085-X

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An example in the theory of well-bounded operators

H. R. Dowson and P. G. Spain

Proc. Amer. Math. Soc. 32 (1972), 205-208

DOI: https://doi.org/10.1090/S0002-9939-1972-0288615-8

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Time-variable singularities for solutions of the heat equation

D. V. Widder

Proc. Amer. Math. Soc. 32 (1972), 209-214

DOI: https://doi.org/10.1090/S0002-9939-1972-0294906-7

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Partially-orthogonal polynomials

Paul P. Rowe

Proc. Amer. Math. Soc. 32 (1972), 215-220

DOI: https://doi.org/10.1090/S0002-9939-1972-0290024-2

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On the Bloch-Nevanlinna problem

Liang-shin Hahn

Proc. Amer. Math. Soc. 32 (1972), 221-224

DOI: https://doi.org/10.1090/S0002-9939-1972-0293105-2

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An elementary proof of a Radon-Nikodým theorem for finitely additive set functions

Jan Pachl

Proc. Amer. Math. Soc. 32 (1972), 225-228

DOI: https://doi.org/10.1090/S0002-9939-1972-0293045-9

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On a problem of Erdős concerning the zeros of the derivatives of an entire function

K. F. Barth and W. J. Schneider

Proc. Amer. Math. Soc. 32 (1972), 229-232

DOI: https://doi.org/10.1090/S0002-9939-1972-0293089-7

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On the absolute Nörlund summability factors of infinite series

S. M. Mazhar

Proc. Amer. Math. Soc. 32 (1972), 233-236

DOI: https://doi.org/10.1090/S0002-9939-1972-0288452-4

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Convolution of $L(p, q)$ functions

Anthony P. Blozinski

Proc. Amer. Math. Soc. 32 (1972), 237-240

DOI: https://doi.org/10.1090/S0002-9939-1972-0288526-8

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Respresentations of strongly amenable $C^{\ast }$-algebras

John Bunce

Proc. Amer. Math. Soc. 32 (1972), 241-246

DOI: https://doi.org/10.1090/S0002-9939-1972-0295091-8

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Second and third order boundary value problems

Keith Schrader

Proc. Amer. Math. Soc. 32 (1972), 247-252

DOI: https://doi.org/10.1090/S0002-9939-1972-0291548-4

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A small boundary for $H^{\infty }$ on the polydisc

R. Michael Range

Proc. Amer. Math. Soc. 32 (1972), 253-255

DOI: https://doi.org/10.1090/S0002-9939-1972-0290115-6

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A flag transitive plane of order $49$

M. L. Narayana Rao

Proc. Amer. Math. Soc. 32 (1972), 256-262

DOI: https://doi.org/10.1090/S0002-9939-1972-0290244-7

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Submanifolds of Euclidean space with parallel second fundamental form.

Jaak Vilms

Proc. Amer. Math. Soc. 32 (1972), 263-267

DOI: https://doi.org/10.1090/S0002-9939-1972-0290298-8

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A generalization of Kolmogorov’s law of the iterated logarithm

R. J. Tomkins

Proc. Amer. Math. Soc. 32 (1972), 268-274

DOI: https://doi.org/10.1090/S0002-9939-1972-0292142-1

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On the equivalence of Gaussian processes with factorable covariance functions

W. J. Park

Proc. Amer. Math. Soc. 32 (1972), 275-279

DOI: https://doi.org/10.1090/S0002-9939-1972-0290444-6

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A characterization of oscillatory processes and their prediction

V. Mandrekar

Proc. Amer. Math. Soc. 32 (1972), 280-284

DOI: https://doi.org/10.1090/S0002-9939-1972-0307310-X

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Note relating Bochner integrals and reproducing kernels to series expansions on a Gaussian Banach space

Raoul D. LePage

Proc. Amer. Math. Soc. 32 (1972), 285-288

DOI: https://doi.org/10.1090/S0002-9939-1972-0296987-3

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Finite groups acting on spheres

John David Miller

Proc. Amer. Math. Soc. 32 (1972), 289-293

DOI: https://doi.org/10.1090/S0002-9939-1972-0288783-8

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An embedding characterization of almost realcompact spaces

Z. Frolík and Chen-tung Liu

Proc. Amer. Math. Soc. 32 (1972), 294-298

DOI: https://doi.org/10.1090/S0002-9939-1972-0290334-9

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Uniform boundedness in metric spaces

James D. Stein

Proc. Amer. Math. Soc. 32 (1972), 299-303

DOI: https://doi.org/10.1090/S0002-9939-1972-0290344-1

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A characterization of distal and point-distal minimal transformation groups

Joseph F. Kent

Proc. Amer. Math. Soc. 32 (1972), 304-308

DOI: https://doi.org/10.1090/S0002-9939-1972-0288744-9

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A nonparacompact space which admits a closure-preserving cover of compact sets

H. B. Potoczny

Proc. Amer. Math. Soc. 32 (1972), 309-311

DOI: https://doi.org/10.1090/S0002-9939-1972-0288727-9

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On two problems of Harris concerning RC-proximities

P. L. Sharma and S. A. Naimpally

Proc. Amer. Math. Soc. 32 (1972), 312

DOI: https://doi.org/10.1090/S0002-9939-1972-0292022-1

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A short proof that metric spaces are realcompact

M. D. Rice

Proc. Amer. Math. Soc. 32 (1972), 313-314

DOI: https://doi.org/10.1090/S0002-9939-1972-0288724-3

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An alternative construction of $\beta X$ and $\upsilon X$

Richard E. Chandler

Proc. Amer. Math. Soc. 32 (1972), 315-318

DOI: https://doi.org/10.1090/S0002-9939-1972-0292032-4

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Twist-spun torus knots

C. McA. Gordon

Proc. Amer. Math. Soc. 32 (1972), 319-322

DOI: https://doi.org/10.1090/S0002-9939-1972-0288752-8

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Residual finiteness of surface groups

John Hempel

Proc. Amer. Math. Soc. 32 (1972), 323

DOI: https://doi.org/10.1090/S0002-9939-1972-0295352-2

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The tangent microbundle of a suitable manifold

Ronald J. Stern

Proc. Amer. Math. Soc. 32 (1972), 324-326

DOI: https://doi.org/10.1090/S0002-9939-1972-0292087-7

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On the embedding $CP_{n}\subset CP_{2n}$

S. Feder

Proc. Amer. Math. Soc. 32 (1972), 327-328

DOI: https://doi.org/10.1090/S0002-9939-1972-0292090-7

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On operators with rational resolvent

Anthony F. Ruston

Proc. Amer. Math. Soc. 32 (1972), 329-330

DOI: https://doi.org/10.1090/S0002-9939-1972-0301527-6

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An invariant subspace theorem

Mary R. Embry

Proc. Amer. Math. Soc. 32 (1972), 331-332

DOI: https://doi.org/10.1090/S0002-9939-1972-0288610-9

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