Proceedings of the American Mathematical Society

Contents of Volume 3, Number 1
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On a lattice with a valuation

Junji Hashimoto

Proc. Amer. Math. Soc. 3 (1952), 1-2

DOI: https://doi.org/10.1090/S0002-9939-1952-0047606-X

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An embedding of $PI$-rings

A. S. Amitsur

Proc. Amer. Math. Soc. 3 (1952), 3-9

DOI: https://doi.org/10.1090/S0002-9939-1952-0045694-8

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Certain congruences on quasigroups

H. A. Thurston

Proc. Amer. Math. Soc. 3 (1952), 10-12

DOI: https://doi.org/10.1090/S0002-9939-1952-0045711-5

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Hypermaximality of certain operators on Lie groups

I. E. Segal

Proc. Amer. Math. Soc. 3 (1952), 13-15

DOI: https://doi.org/10.1090/S0002-9939-1952-0051240-5

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Orthogonal similarity in infinite-dimensional spaces

Irving Kaplansky

Proc. Amer. Math. Soc. 3 (1952), 16-25

DOI: https://doi.org/10.1090/S0002-9939-1952-0046564-1

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Note on bounds for determinants with dominant principal diagonal

A. M. Ostrowski

Proc. Amer. Math. Soc. 3 (1952), 26-30

DOI: https://doi.org/10.1090/S0002-9939-1952-0052380-7

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An operatorial characterization of certain partition polynomials

W. Gustin

Proc. Amer. Math. Soc. 3 (1952), 31-35

DOI: https://doi.org/10.1090/S0002-9939-1952-0049227-1

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On comparison of finite algebras

J. Kalicki

Proc. Amer. Math. Soc. 3 (1952), 36-40

DOI: https://doi.org/10.1090/S0002-9939-1952-0047584-3

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The solution of a Diophantine equation

Charles P. Benner

Proc. Amer. Math. Soc. 3 (1952), 41-43

DOI: https://doi.org/10.1090/S0002-9939-1952-0045749-8

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Commutator calculus and link invariants

K. T. Chen

Proc. Amer. Math. Soc. 3 (1952), 44-55

DOI: https://doi.org/10.1090/S0002-9939-1952-0046361-7

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Hamiltonian loops

D. A. Norton

Proc. Amer. Math. Soc. 3 (1952), 56-65

DOI: https://doi.org/10.1090/S0002-9939-1952-0046352-6

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Pseudo-automorphisms and Moufang loops

R. H. Bruck

Proc. Amer. Math. Soc. 3 (1952), 66-72

DOI: https://doi.org/10.1090/S0002-9939-1952-0047635-6

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A boundary value problem for a nonlinear differential equation with a small parameter

Earl A. Coddington and Norman Levinson

Proc. Amer. Math. Soc. 3 (1952), 73-81

DOI: https://doi.org/10.1090/S0002-9939-1952-0046517-3

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On the regularity of boundary points in potential theory

H. L. Royden

Proc. Amer. Math. Soc. 3 (1952), 82-86

DOI: https://doi.org/10.1090/S0002-9939-1952-0048639-X

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A note on area

Edward Silverman

Proc. Amer. Math. Soc. 3 (1952), 86-87

DOI: https://doi.org/10.1090/S0002-9939-1952-0046423-4

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Continuity of area for harmonic surfaces with boundaries of uniformly bounded length

K. H. Carlson and L. C. Young

Proc. Amer. Math. Soc. 3 (1952), 88-91

DOI: https://doi.org/10.1090/S0002-9939-1952-0046420-9

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Inversion of second order differential operators

Walter Rudin

Proc. Amer. Math. Soc. 3 (1952), 92-98

DOI: https://doi.org/10.1090/S0002-9939-1952-0045903-5

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On the addition theorem for multiply periodic functions

S. Bochner

Proc. Amer. Math. Soc. 3 (1952), 99-106

DOI: https://doi.org/10.1090/S0002-9939-1952-0047148-1

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Almost periodic functions

J. E. L. Peck

Proc. Amer. Math. Soc. 3 (1952), 107-110

DOI: https://doi.org/10.1090/S0002-9939-1952-0047815-X

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A note on harmonic functions and a hydrodynamical application

Hans Lewy

Proc. Amer. Math. Soc. 3 (1952), 111-113

DOI: https://doi.org/10.1090/S0002-9939-1952-0049399-9

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Neighborly functions

Woodrow W. Bledsoe

Proc. Amer. Math. Soc. 3 (1952), 114-115

DOI: https://doi.org/10.1090/S0002-9939-1952-0045791-7

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A note on the location of the zeros of polynomials

Ruth E. O’Donnell

Proc. Amer. Math. Soc. 3 (1952), 116-119

DOI: https://doi.org/10.1090/S0002-9939-1952-0046478-7

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A generalization of Abel’s transformation

A. A. Aucoin

Proc. Amer. Math. Soc. 3 (1952), 120-125

DOI: https://doi.org/10.1090/S0002-9939-1952-0046460-X

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Linear transformations on or onto a Banach space

H. D. Block

Proc. Amer. Math. Soc. 3 (1952), 126-128

DOI: https://doi.org/10.1090/S0002-9939-1952-0045942-4

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Rotations in the product of two Wiener spaces

Jacob E. Bearman

Proc. Amer. Math. Soc. 3 (1952), 129-137

DOI: https://doi.org/10.1090/S0002-9939-1952-0045936-9

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Linearization of certain nonlinear functional equations

R. H. Cameron, B. W. Lindgren and W. T. Martin

Proc. Amer. Math. Soc. 3 (1952), 138-143

DOI: https://doi.org/10.1090/S0002-9939-1952-0047917-8

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The multiplier rule for ordinary differential equations

Philip Cooperman

Proc. Amer. Math. Soc. 3 (1952), 143-146

DOI: https://doi.org/10.1090/S0002-9939-1952-0052707-6

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Remarks on “Some problems in conformal mapping.”

James A. Jenkins

Proc. Amer. Math. Soc. 3 (1952), 147-151

DOI: https://doi.org/10.1090/S0002-9939-1952-0045828-5

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On an equivalent definition of the transfinite diameter

Philip Davis and Henry Pollak

Proc. Amer. Math. Soc. 3 (1952), 152-155

DOI: https://doi.org/10.1090/S0002-9939-1952-0047201-2

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Comparison of topologies on function spaces

James R. Jackson

Proc. Amer. Math. Soc. 3 (1952), 156-158

DOI: https://doi.org/10.1090/S0002-9939-1952-0046031-5

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A theorem on dimension

M. L. Curtis and G. S. Young

Proc. Amer. Math. Soc. 3 (1952), 159-161

DOI: https://doi.org/10.1090/S0002-9939-1952-0046640-3

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Complex structures on real Banach spaces

Jean Dieudonné

Proc. Amer. Math. Soc. 3 (1952), 162-164

DOI: https://doi.org/10.1090/S0002-9939-1952-0047252-8

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An embedding theorem for spaces of convex sets

Hans Rådström

Proc. Amer. Math. Soc. 3 (1952), 165-169

DOI: https://doi.org/10.1090/S0002-9939-1952-0045938-2

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A further generalization of the Kakutani fixed theorem, with application to Nash equilibrium points

I. L. Glicksberg

Proc. Amer. Math. Soc. 3 (1952), 170-174

DOI: https://doi.org/10.1090/S0002-9939-1952-0046638-5

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