Noncommutative Vitali-Hahn-Saks Theorem holds precisely for finite $W^\ast$-algebras

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dc.creatorChetcuti, E.
dc.creatorHamhalter, J.
dc.date2007-11-01
dc.date.accessioned2026-07-07T08:39:54Z
dc.date.available2026-07-07T08:39:54Z
dc.descriptionIt is shown that the bona fide generalization of the Vitali-Hahn-Saks Theorem to von Neumann algebras is possible if, and only if, the algebra is finite. This settles the problem on the noncommutative Vitali-Hahn-Saks Theorem completely and provides new means of characterizing finite von Neumann algebras.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0711.0135
dc.identifierhttp://arxiv.org/abs/0711.0135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141233
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46l10; 46l30
dc.titleNoncommutative Vitali-Hahn-Saks Theorem holds precisely for finite $W^\ast$-algebras
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