Proceedings of the American Mathematical Society

Contents of Volume 22, Number 3
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Weakly mixing transformations which are not strongly mixing

R. V. Chacon

Proc. Amer. Math. Soc. 22 (1969), 559-562

DOI: https://doi.org/10.1090/S0002-9939-1969-0247028-5

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Extension of operator valued set functions with finite semivariation.

P. W. Lewis

Proc. Amer. Math. Soc. 22 (1969), 563-569

DOI: https://doi.org/10.1090/S0002-9939-1969-0245755-7

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Isometries between $B^{\ast }$-algebras

Alan L. T. Paterson

Proc. Amer. Math. Soc. 22 (1969), 570-572

DOI: https://doi.org/10.1090/S0002-9939-1969-0246137-4

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Bounded and continuous random Fourier series on non- commutative groups

Alessandro Figà-Talamanca

Proc. Amer. Math. Soc. 22 (1969), 573-578

DOI: https://doi.org/10.1090/S0002-9939-1969-0244442-9

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On the irreducibility of weighted shifts

Noboru Suzuki

Proc. Amer. Math. Soc. 22 (1969), 579-581

DOI: https://doi.org/10.1090/S0002-9939-1969-0257793-9

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Purely transcendental subfields of $k(x_{1},\cdots ,x_{n})$

A. Evyatar and A. Zaks

Proc. Amer. Math. Soc. 22 (1969), 582-586

DOI: https://doi.org/10.1090/S0002-9939-1969-0242811-4

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Note on relative $p$-bases of purely inseparable extensions

J. N. Mordeson and B. Vinograde

Proc. Amer. Math. Soc. 22 (1969), 587-590

DOI: https://doi.org/10.1090/S0002-9939-1969-0268164-3

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Commutative semigroup laws

Robert Schwabauer

Proc. Amer. Math. Soc. 22 (1969), 591-595

DOI: https://doi.org/10.1090/S0002-9939-1969-0244419-3

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The structure of $\textrm {O}^{’} /\Omega$ over local fields of characteristic $2$

Edward A. Connors

Proc. Amer. Math. Soc. 22 (1969), 596-599

DOI: https://doi.org/10.1090/S0002-9939-1969-0245690-4

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A note on the index of a $G$-manifold

Hsu-tung Ku and Mei-chin Ku

Proc. Amer. Math. Soc. 22 (1969), 600-602

DOI: https://doi.org/10.1090/S0002-9939-1969-0248875-6

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Hyperbolic submanifolds of complex projective space

Peter Kiernan

Proc. Amer. Math. Soc. 22 (1969), 603-606

DOI: https://doi.org/10.1090/S0002-9939-1969-0245828-9

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A note on topological parallelizability

K. Varadarajan

Proc. Amer. Math. Soc. 22 (1969), 607-609

DOI: https://doi.org/10.1090/S0002-9939-1969-0245029-4

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The Gauss realizability problem

Morris L. Marx

Proc. Amer. Math. Soc. 22 (1969), 610-613

DOI: https://doi.org/10.1090/S0002-9939-1969-0244984-6

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A note on semifree actions of $S^{1}$ on homotopy spheres

Hsu-tung Ku

Proc. Amer. Math. Soc. 22 (1969), 614-617

DOI: https://doi.org/10.1090/S0002-9939-1969-0264696-2

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A remark on the density character of function spaces

Giovanni Vidossich

Proc. Amer. Math. Soc. 22 (1969), 618-619

DOI: https://doi.org/10.1090/S0002-9939-1969-0267521-9

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The $\alpha$-closure $\alpha X$ of a topological space $X$

Chen-tung Liu

Proc. Amer. Math. Soc. 22 (1969), 620-624

DOI: https://doi.org/10.1090/S0002-9939-1969-0244949-4

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A countable minimal Urysohn space is compact

R. M. Stephenson

Proc. Amer. Math. Soc. 22 (1969), 625-626

DOI: https://doi.org/10.1090/S0002-9939-1969-0244942-1

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Compactifications of Hausdorff spaces

Peter A. Loeb

Proc. Amer. Math. Soc. 22 (1969), 627-634

DOI: https://doi.org/10.1090/S0002-9939-1969-0244950-0

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On $k$-spaces

D. D. Weddington

Proc. Amer. Math. Soc. 22 (1969), 635-638

DOI: https://doi.org/10.1090/S0002-9939-1969-0248750-7

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Monotone mapping properties of hereditarily infinite dimensional spaces

J. M. Yohe

Proc. Amer. Math. Soc. 22 (1969), 639-645

DOI: https://doi.org/10.1090/S0002-9939-1969-0243493-8

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A general differential equation for classical polynomials

B. D. Agrawal and I. K. Khanna

Proc. Amer. Math. Soc. 22 (1969), 646-649

DOI: https://doi.org/10.1090/S0002-9939-1969-0245867-8

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Multiplicative inverses of solutions for Volterra-Stieltjes integral equations

J. V. Herod

Proc. Amer. Math. Soc. 22 (1969), 650-656

DOI: https://doi.org/10.1090/S0025-5718-69-99994-3

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Completely continuous inverses of ordinary differential operators

Robert M. Kauffman

Proc. Amer. Math. Soc. 22 (1969), 657-659

DOI: https://doi.org/10.1090/S0002-9939-1969-0246160-X

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Analytic continuation of holomorphic functions with values in a locally convex space

Witold M. Bogdanowicz

Proc. Amer. Math. Soc. 22 (1969), 660-666

DOI: https://doi.org/10.1090/S0002-9939-1969-0250067-1

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The spectrum of a linear operator under perturbation by certain compact operators

Kenneth K. Warner

Proc. Amer. Math. Soc. 22 (1969), 667-671

DOI: https://doi.org/10.1090/S0002-9939-1969-0246157-X

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Some steady state properties of $(\int _{0}^{x}f(t)dt)/f(x)$

Vivienne Mayes

Proc. Amer. Math. Soc. 22 (1969), 672-677

DOI: https://doi.org/10.1090/S0002-9939-1969-0251313-0

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Principal homogeneous spaces for finite group schemes

Stephen S. Shatz

Proc. Amer. Math. Soc. 22 (1969), 678-680

DOI: https://doi.org/10.1090/S0002-9939-1969-0249442-0

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Splitting hereditary torsion theories over semiperfect rings

Robert L. Bernhardt

Proc. Amer. Math. Soc. 22 (1969), 681-687

DOI: https://doi.org/10.1090/S0002-9939-1969-0244324-2

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Proof of Andrews’ conjecture on partition identities

Henry L. Alder

Proc. Amer. Math. Soc. 22 (1969), 688-689

DOI: https://doi.org/10.1090/S0002-9939-1969-0244185-1

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Reducing ordinal recursion

C. F. Kent

Proc. Amer. Math. Soc. 22 (1969), 690-696

DOI: https://doi.org/10.1090/S0002-9939-1969-0265156-5

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On a weakly convergent sequence of normal functionals on a von Neumann algebra

Noboru Suzuki

Proc. Amer. Math. Soc. 22 (1969), 697-701

DOI: https://doi.org/10.1090/S0002-9939-1969-0247494-5

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Functions positive definite in $C[0, 1]$

Sheldon J. Einhorn

Proc. Amer. Math. Soc. 22 (1969), 702-703

DOI: https://doi.org/10.1090/S0002-9939-1969-0246102-7

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Probabilistic Turing machines and computability

Eugene S. Santos

Proc. Amer. Math. Soc. 22 (1969), 704-710

DOI: https://doi.org/10.1090/S0002-9939-1969-0249221-4

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A correction to “Some boundary properties of the Riemann mapping function”

Maynard G. Arsove

Proc. Amer. Math. Soc. 22 (1969), 711-712

DOI: https://doi.org/10.1090/S0002-9939-1969-0243044-8

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An inversion theorem for Hankel transforms

Alan L. Schwartz

Proc. Amer. Math. Soc. 22 (1969), 713-717

DOI: https://doi.org/10.1090/S0002-9939-1969-0243294-0

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On a Riemann sum construction of Rudin

C. J. Mozzochi

Proc. Amer. Math. Soc. 22 (1969), 718

DOI: https://doi.org/10.1090/S0002-9939-1969-0247010-8

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Applications of $cyeps$-entropy to the computation of $n$-widths

J. W. Jerome and L. L. Schumaker

Proc. Amer. Math. Soc. 22 (1969), 719-722

DOI: https://doi.org/10.1090/S0002-9939-1969-0247346-0

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Correction to: “On strong Riesz summability factors of infinite series”

J. S. Ratti

Proc. Amer. Math. Soc. 22 (1969), 723

DOI: https://doi.org/10.1090/S0002-9939-1969-0243227-7

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Taming a surface by piercing with disks

W. T. Eaton

Proc. Amer. Math. Soc. 22 (1969), 724-727

DOI: https://doi.org/10.1090/S0002-9939-1969-0246275-6

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Solution to a problem posed by Kalicki

Dolph Ulrich

Proc. Amer. Math. Soc. 22 (1969), 728-729

DOI: https://doi.org/10.1090/S0002-9939-1969-0243999-1

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