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*).References
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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