Proceedings of the American Mathematical Society

Contents of Volume 53, Number 2
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Oscillations of bases for the natural numbers

Paul Erdős and Melvyn B. Nathanson

Proc. Amer. Math. Soc. 53 (1975), 253-258

DOI: https://doi.org/10.1090/S0002-9939-1975-0384739-8

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Conjugate algebraic integers in an interval

Veikko Ennola

Proc. Amer. Math. Soc. 53 (1975), 259-261

DOI: https://doi.org/10.1090/S0002-9939-1975-0382219-7

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The intersection of Sylow subgroups

Avionam Mann

Proc. Amer. Math. Soc. 53 (1975), 262-264

DOI: https://doi.org/10.1090/S0002-9939-1975-0384924-5

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Transposed translation planes

D. M. Maduram

Proc. Amer. Math. Soc. 53 (1975), 265-270

DOI: https://doi.org/10.1090/S0002-9939-1975-0383237-5

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Contracted ideals and purity for ring extensions

J. W. Brewer and D. L. Costa

Proc. Amer. Math. Soc. 53 (1975), 271-276

DOI: https://doi.org/10.1090/S0002-9939-1975-0384774-X

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Normal subgroups contained in the Frattini subgroup. II

W. Mack Hill

Proc. Amer. Math. Soc. 53 (1975), 277-279

DOI: https://doi.org/10.1090/S0002-9939-1975-0390051-3

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Some commutativity results for rings with two-variable constraints

H. E. Bell

Proc. Amer. Math. Soc. 53 (1975), 280-284

DOI: https://doi.org/10.1090/S0002-9939-1975-0382357-9

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Rational approximation to solutions of linear differential equations with algebraic coefficients

Wolfgang M. Schmidt

Proc. Amer. Math. Soc. 53 (1975), 285-289

DOI: https://doi.org/10.1090/S0002-9939-1975-0387210-2

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A summation formula and some properties of Eulerian functions

R. C. Grimson

Proc. Amer. Math. Soc. 53 (1975), 290-292

DOI: https://doi.org/10.1090/S0002-9939-1975-0397054-3

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An elementary counterexample to the open mapping principle for bilinear maps

Charles Horowitz

Proc. Amer. Math. Soc. 53 (1975), 293-294

DOI: https://doi.org/10.1090/S0002-9939-1975-0419813-0

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A note on lifting Brauer characters

Stephen M. Gagola

Proc. Amer. Math. Soc. 53 (1975), 295-300

DOI: https://doi.org/10.1090/S0002-9939-1975-0390038-0

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Modular field extensions

Nickolas Heerema and David Tucker

Proc. Amer. Math. Soc. 53 (1975), 301-306

DOI: https://doi.org/10.1090/S0002-9939-1975-0401724-8

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A change of rings theorem and the Artin-Rees property

M. Boratyński

Proc. Amer. Math. Soc. 53 (1975), 307-310

DOI: https://doi.org/10.1090/S0002-9939-1975-0401840-0

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Epimorphisms in the category of abelian $l$-groups

F. D. Pedersen

Proc. Amer. Math. Soc. 53 (1975), 311-317

DOI: https://doi.org/10.1090/S0002-9939-1975-0574094-2

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A note on continuity of semigroups of maps

Paul R. Chernoff

Proc. Amer. Math. Soc. 53 (1975), 318-320

DOI: https://doi.org/10.1090/S0002-9939-1975-0448406-4

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Jordan derivations on rings

J. M. Cusack

Proc. Amer. Math. Soc. 53 (1975), 321-324

DOI: https://doi.org/10.1090/S0002-9939-1975-0399182-5

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Cartan subalgebras and tori in prime characteristic

Robert Lee Wilson

Proc. Amer. Math. Soc. 53 (1975), 325-327

DOI: https://doi.org/10.1090/S0002-9939-1975-0384886-0

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Essential extensions and intersection theorems

W. Schelter

Proc. Amer. Math. Soc. 53 (1975), 328-330

DOI: https://doi.org/10.1090/S0002-9939-1975-0389971-5

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Cyclotomic splitting fields for group characters

Mark Benard

Proc. Amer. Math. Soc. 53 (1975), 331-333

DOI: https://doi.org/10.1090/S0002-9939-1975-0382414-7

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Measurability of norm proved by Haar functions

H. C. Finlayson

Proc. Amer. Math. Soc. 53 (1975), 334-336

DOI: https://doi.org/10.1090/S0002-9939-1975-0385059-8

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Two classical examples of Gross’ abstract Wiener measure

Henry C. Finlayson

Proc. Amer. Math. Soc. 53 (1975), 337-340

DOI: https://doi.org/10.1090/S0002-9939-1975-0385060-4

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Operators satisfying certain growth conditions

S. M. Patel and B. C. Gupta

Proc. Amer. Math. Soc. 53 (1975), 341-346

DOI: https://doi.org/10.1090/S0002-9939-1975-0385617-0

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On a problem of J. L. Taylor

Keiji Izuchi

Proc. Amer. Math. Soc. 53 (1975), 347-352

DOI: https://doi.org/10.1090/S0002-9939-1975-0382998-9

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Arcs defined by one-parameter semigroups of operators in Banach spaces with the Radon-Nikodym property

Charles L. Byrne

Proc. Amer. Math. Soc. 53 (1975), 353-355

DOI: https://doi.org/10.1090/S0002-9939-1975-0385635-2

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$p$-extremal length and $p$-measurable curve families

Joseph Hesse

Proc. Amer. Math. Soc. 53 (1975), 356-360

DOI: https://doi.org/10.1090/S0002-9939-1975-0385052-5

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On paracompact subsets of linear topological spaces

Richard A. Graff

Proc. Amer. Math. Soc. 53 (1975), 361-366

DOI: https://doi.org/10.1090/S0002-9939-1975-0400282-1

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Singular integrals on nilpotent Lie groups

Robert S. Strichartz

Proc. Amer. Math. Soc. 53 (1975), 367-374

DOI: https://doi.org/10.1090/S0002-9939-1975-0420140-6

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Sequential weak convergence in the bidual of a Banach lattice

John L. B. Gamlen

Proc. Amer. Math. Soc. 53 (1975), 375-378

DOI: https://doi.org/10.1090/S0002-9939-1975-0385511-5

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A new generating function for a generalized function of two variables

B. L. Sharma and R. F. A. Abiodun

Proc. Amer. Math. Soc. 53 (1975), 379-384

DOI: https://doi.org/10.1090/S0002-9939-1975-0385194-4

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On the radius of starlikeness of $(zf)^{’}$ for $f$ univalent

Roger W. Barnard

Proc. Amer. Math. Soc. 53 (1975), 385-390

DOI: https://doi.org/10.1090/S0002-9939-1975-0382615-8

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A lattice theoretic characterization of an integral operator

Lawrence Lessner

Proc. Amer. Math. Soc. 53 (1975), 391-395

DOI: https://doi.org/10.1090/S0002-9939-1975-0402533-6

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On a theorem of Menchoff

Y. Katznelson

Proc. Amer. Math. Soc. 53 (1975), 396-398

DOI: https://doi.org/10.1090/S0002-9939-1975-0380242-X

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On the convolution of a measure and a function

S. K. Berberian

Proc. Amer. Math. Soc. 53 (1975), 399-403

DOI: https://doi.org/10.1090/S0002-9939-1975-0385058-6

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On the structure of certain bounded linear operators

G. D. Allen

Proc. Amer. Math. Soc. 53 (1975), 404-406

DOI: https://doi.org/10.1090/S0002-9939-1975-0438098-2

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Tauberian conclusions

K. A. Jukes and I. J. Maddox

Proc. Amer. Math. Soc. 53 (1975), 407-411

DOI: https://doi.org/10.1090/S0002-9939-1975-0404919-2

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On Lakshmikantham’s comparison for ordinary differential equations

Giovanni Vidossich

Proc. Amer. Math. Soc. 53 (1975), 412-414

DOI: https://doi.org/10.1090/S0002-9939-1975-0390421-3

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Random compact sets related to the Kakeya problem

Ralph Alexander

Proc. Amer. Math. Soc. 53 (1975), 415-419

DOI: https://doi.org/10.1090/S0002-9939-1975-0393427-3

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A class of strong differentiability spaces

James B. Collier

Proc. Amer. Math. Soc. 53 (1975), 420-422

DOI: https://doi.org/10.1090/S0002-9939-1975-0388044-5

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Primary ideals in rings of analytic functions

Norman L. Alling

Proc. Amer. Math. Soc. 53 (1975), 423-427

DOI: https://doi.org/10.1090/S0002-9939-1975-0383082-0

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Cylindricity of isometric immersions into Euclidean space

Robert Maltz

Proc. Amer. Math. Soc. 53 (1975), 428-432

DOI: https://doi.org/10.1090/S0002-9939-1975-0643658-X

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A lemma of Élie Cartan

Robert Maltz

Proc. Amer. Math. Soc. 53 (1975), 433-434

DOI: https://doi.org/10.1090/S0002-9939-1975-0410582-7

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Width-integrals of convex bodies

Erwin Lutwak

Proc. Amer. Math. Soc. 53 (1975), 435-439

DOI: https://doi.org/10.1090/S0002-9939-1975-0383254-5

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A finite version of Schur’s theorem

R. S. Kulkarni

Proc. Amer. Math. Soc. 53 (1975), 440-442

DOI: https://doi.org/10.1090/S0002-9939-1975-0383295-8

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Characterizing a circle with the double midset property

L. D. Loveland and J. E. Valentine

Proc. Amer. Math. Soc. 53 (1975), 443-444

DOI: https://doi.org/10.1090/S0002-9939-1975-0388242-0

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A basis result for $\Sigma ^{0}_{3}$ sets of reals with an application to minimal covers

Leo A. Harrington and Alexander S. Kechris

Proc. Amer. Math. Soc. 53 (1975), 445-448

DOI: https://doi.org/10.1090/S0002-9939-1975-0398832-7

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Almost deterministic $\omega$-automata with existential output condition

Marek Karpiński

Proc. Amer. Math. Soc. 53 (1975), 449-452

DOI: https://doi.org/10.1090/S0002-9939-1975-0437321-8

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Completely additive measure and integration

Alan McK. Shorb

Proc. Amer. Math. Soc. 53 (1975), 453-459

DOI: https://doi.org/10.1090/S0002-9939-1975-0382578-5

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Support properties of Gaussian processes over Schwartz space

M. Ann Piech

Proc. Amer. Math. Soc. 53 (1975), 460-462

DOI: https://doi.org/10.1090/S0002-9939-1975-0391242-8

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The Lévy-Baxter theorem for Gaussian random fields: a sufficient condition

Takayuki Kawada

Proc. Amer. Math. Soc. 53 (1975), 463-469

DOI: https://doi.org/10.1090/S0002-9939-1975-0383512-4

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Inverse cluster sets

T. R. Hamlett and Paul Long

Proc. Amer. Math. Soc. 53 (1975), 470-476

DOI: https://doi.org/10.1090/S0002-9939-1975-0388312-7

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Applications of cluster sets in minimal topological spaces

T. R. Hamlett

Proc. Amer. Math. Soc. 53 (1975), 477-480

DOI: https://doi.org/10.1090/S0002-9939-1975-0388342-5

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$S$-transversality

L. A. Favaro

Proc. Amer. Math. Soc. 53 (1975), 481-488

DOI: https://doi.org/10.1090/S0002-9939-1975-0391119-8

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Axiomatic shape theory

Philip Bacon

Proc. Amer. Math. Soc. 53 (1975), 489-496

DOI: https://doi.org/10.1090/S0002-9939-1975-0420611-2

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Some finitely presented non-$3$-manifold groups

Wolfgang H. Heil

Proc. Amer. Math. Soc. 53 (1975), 497-500

DOI: https://doi.org/10.1090/S0002-9939-1975-0438320-2

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A general proof of Bing’s shrinkability criterion

A. Marin and Y. M. Visetti

Proc. Amer. Math. Soc. 53 (1975), 501-507

DOI: https://doi.org/10.1090/S0002-9939-1975-0388319-X

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Equivalence of $5$-dimensional $s$-cobordisms

Martin Scharlemann

Proc. Amer. Math. Soc. 53 (1975), 508-510

DOI: https://doi.org/10.1090/S0002-9939-1975-0380838-5

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Properties of weak $\bar \theta$-refinable spaces

J. C. Smith

Proc. Amer. Math. Soc. 53 (1975), 511-517

DOI: https://doi.org/10.1090/S0002-9939-1975-0380731-8

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On the closure-preserving sum theorem

M. K. Singal and Shashi Prabha Arya

Proc. Amer. Math. Soc. 53 (1975), 518-522

DOI: https://doi.org/10.1090/S0002-9939-1975-0383335-6

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Closure-preserving families and metacompactness

Henry Potoczny and Heikki Junnila

Proc. Amer. Math. Soc. 53 (1975), 523-529

DOI: https://doi.org/10.1090/S0002-9939-1975-0388337-1

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On the characterization of Souslin and Borel sets

R.-D. Reiss

Proc. Amer. Math. Soc. 53 (1975), 530-534

DOI: https://doi.org/10.1090/S0002-9939-1975-0385827-2

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Degree sequences in complexes and hypergraphs

A. K. Dewdney

Proc. Amer. Math. Soc. 53 (1975), 535-540

DOI: https://doi.org/10.1090/S0002-9939-1975-0384610-1

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Corrigendum to: “$3$-variétés qui ne sont pas des revêtements cycliques ramifiés sur $S^{3}$” (Proc. Amer. Math. Soc. 47 (1975), 495–500)

José M. Montesinos

Proc. Amer. Math. Soc. 53 (1975), 541

DOI: https://doi.org/10.1090/S0002-9939-1975-0383413-1

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