Innerness of Derivations on Subalgebras of Measurable Operators

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dc.creatorAyupov, Sh. A.
dc.creatorKudaybergenov, K. K.
dc.date2007-10-24
dc.date.accessioned2026-07-07T08:38:24Z
dc.date.available2026-07-07T08:38:24Z
dc.descriptionGiven a 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 prove that if $A$ is a locally convex reflexive complete metrizable solid $\ast$-subalgebra in $L(M, τ),$ which can be embedded into a locally bounded weak Fréchet $M$-bimodule, then any derivation on $A$ is inner.
dc.identifierhttps://arxiv.org/abs/0710.4478
dc.identifierhttp://arxiv.org/abs/0710.4478
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140719
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46L57, 46L50, 46L55,
dc.titleInnerness of Derivations on Subalgebras of Measurable Operators
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