Complete description of derivations on $τ$-compact operators for type I von Neumann algebras

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dc.creatorAlbeverio, S.
dc.creatorAyupov, Sh. A.
dc.creatorKudaybergenov, K. K.
dc.creatorKalandarov, T. S.
dc.date2008-07-27
dc.date.accessioned2026-07-07T09:53:12Z
dc.date.available2026-07-07T09:53:12Z
dc.descriptionGiven a type I von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $S_0(M, τ)$ be the algebra of all $τ$-compact operators affiliated with $M.$ We give a complete description of all derivations on the algebra $S_0(M, τ).$ In particular, we prove that if $M$ is of type I$_\infty$ then every derivation on $S_0(M, τ)$ is spatial.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0807.4316
dc.identifierhttp://arxiv.org/abs/0807.4316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165867
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L57, 46L50, 46L55
dc.titleComplete description of derivations on $τ$-compact operators for type I von Neumann algebras
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