Pelczynski’s property (V*) for symmetric operator spaces

Randrianantoanina, Narcisse

doi:10.1090/S0002-9939-97-03632-0

Pelczynski’s property (V*) for symmetric operator spaces
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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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