Rosenthal's theorem for subspaces of noncommutative Lp

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dc.creatorJunge, Marius
dc.creatorParcet, Javier
dc.date2006-04-24
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:28Z
dc.date.available2026-07-07T07:48:28Z
dc.descriptionWe 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.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math/0604510
dc.identifierhttp://arxiv.org/abs/math/0604510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124509
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleRosenthal's theorem for subspaces of noncommutative Lp
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