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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Pelczynski’s property (V*) for symmetric operator spaces
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by Narcisse Randrianantoanina PDF
Proc. Amer. Math. Soc. 125 (1997), 801-806 Request permission

Abstract:

We show that if a rearrangement invariant Banach function space $E$ on the positive semi-axis contains no subspace isomorphic to $c_0$ then the corresponding space $E(\mathcal {M})$ of $\tau$-measurable operators, affiliated with an arbitrary semifinite von-Neumann algebra $\mathcal {M}$ equipped with a distinguished faithful, normal and semifinite trace $\tau$, has Pełczyński’s property (V*).
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Additional Information
  • Narcisse Randrianantoanina
  • Affiliation: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712-1082
  • Address at time of publication: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056
  • Email: nrandri@math.utexas.edu, randrin@muohio.edu
  • Received by editor(s): June 26, 1995
  • Received by editor(s) in revised form: September 8, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 801-806
  • MSC (1991): Primary 46E40; Secondary 47D15, 28B05
  • DOI: https://doi.org/10.1090/S0002-9939-97-03632-0
  • MathSciNet review: 1353396