Description of Derivations on Measurable Operator Algebras of Type I

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dc.creatorAlbeverio, S.
dc.creatorAyupov, Sh. A.
dc.creatorKudaybergenov, K. K.
dc.date2007-10-17
dc.date.accessioned2026-07-07T08:36:54Z
dc.date.available2026-07-07T08:36:54Z
dc.descriptionGiven a type I von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $L(M, τ)$ be the algebra of all $τ$-measurable operators affiliated with $M.$ We give a complete description of all derivations on the algebra $L(M, τ).$ In particular, we prove that if $M$ is of type I$_\infty$ then every derivation on $L(M, τ)$ is inner.
dc.identifierhttps://arxiv.org/abs/0710.3344
dc.identifierhttp://arxiv.org/abs/0710.3344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140223
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L57, 46L50, 46L55,
dc.titleDescription of Derivations on Measurable Operator Algebras of Type I
dc.typetext

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