Derivations on the Algebra of Measurable Operators Affiliated with a Type I von Neumann Algebra

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dc.creatorAlbeverio, S.
dc.creatorAyupov, Sh. A.
dc.creatorKudaybergenov, K. K.
dc.date2007-03-06
dc.date2008-08-07
dc.date.accessioned2026-07-07T09:55:06Z
dc.date.available2026-07-07T09:55:06Z
dc.descriptionLet $M$ be a type I von Neumann algebra with the center $Z,$ and let $LS(M)$ be the algebra of all locally measurable operators affiliated with $M.$ We prove that every $Z$-linear derivation on $LS(M)$ is inner. In particular all $Z$-linear derivations on the algebras of measurable and respectively totally measurable operators are spatial and implemented by elements from $LS(M).$
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0703171
dc.identifierhttp://arxiv.org/abs/math/0703171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166556
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L57, 46L50, 46L55. 46L60
dc.titleDerivations on the Algebra of Measurable Operators Affiliated with a Type I von Neumann Algebra
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