Noncommutative Lp structure encodes exactly Jordan structure

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dc.creatorSherman, David
dc.date2003-09-22
dc.date2004-09-14
dc.date.accessioned2026-07-07T05:01:22Z
dc.date.available2026-07-07T05:01:22Z
dc.descriptionWe prove that for all 1 \le p \le \infty, p not 2, the Lp spaces associated to two von Neumann algebras M,N are isometrically isomorphic if and only if M and N are Jordan *-isomorphic. This follows from a noncommutative Lp Banach-Stone theorem: a specific decomposition for surjective isometries of noncommutative Lp spaces.
dc.description14 pages, to appear in J. Funct. Anal. A step in the earlier proof was invalid for finite type I algebras
dc.identifierhttps://arxiv.org/abs/math/0309365
dc.identifierhttp://arxiv.org/abs/math/0309365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68640
dc.subjectOperator Algebras
dc.subject46L52, 46B04, 47B49
dc.titleNoncommutative Lp structure encodes exactly Jordan structure
dc.typetext

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