A Kadison-Sakai Type Theorem

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dc.creatorMirzavaziri, M.
dc.creatorMoslehian, M. S.
dc.date2005-10-13
dc.date2008-01-07
dc.date.accessioned2026-07-07T08:52:40Z
dc.date.available2026-07-07T08:52:40Z
dc.descriptionThe celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-σ-derivations, where σis an ultraweakly continuous surjective *-linear mapping. We decompose a $σ$-derivation into a sum of an inner σ-derivation and a multiple of a homomorphism. The so-called *-(σ,τ)-derivations are also discussed.
dc.description10 pages, completely revised
dc.identifierhttps://arxiv.org/abs/math/0510267
dc.identifierhttp://arxiv.org/abs/math/0510267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145356
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46L57 (Primary) 46L05, 47B47 (Secondary)
dc.titleA Kadison-Sakai Type Theorem
dc.typetext

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