This is an announcement for the paper "Rosenthal's theorem for subspaces of noncommutative Lp" by Marius Junge and Javier Parcet.

Abstract: We show that a reflexive subspace of the predual of a von Neumann algebra embeds into a noncommutative Lp space for some p>1. This is a noncommutative version of Rosenthal's result for commutative Lp spaces. Similarly for 1 < q < 2, an infinite dimensional subspace X of a noncommutative Lq space either contains lq or embeds in Lp for some q < p < 2. The novelty in the noncommutative setting is a double sided change of density.

Archive classification: Functional Analysis; Operator Algebras

Remarks: 34 pages

The source file(s), Rosenthal.tex: 103990 bytes, is(are) stored in gzipped form as 0604510.gz with size 30kb. The corresponding postcript file has gzipped size 144kb.

Submitted from: jparcet@crm.es

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http://arXiv.org/abs/math.FA/0604510

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