The range of operators on von Neumann algebras

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dc.creatorBermudez, T.
dc.creatorKalton, N. J.
dc.date2001-04-11
dc.date.accessioned2026-07-07T04:41:15Z
dc.date.available2026-07-07T04:41:15Z
dc.descriptionWe prove that for every bounded linear operator $T:X\to X$, where $X$ is a non-reflexive quotient of a von Neumann algebra, the point spectrum of $T^*$ is non-empty (i.e. for some $λ\in\mathbb C$ the operator $λI-T$ fails to have dense range.) In particular, and as an application, we obtain that such a space cannot support a topologically transitive operator.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0104119
dc.identifierhttp://arxiv.org/abs/math/0104119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61281
dc.subjectOperator Algebras
dc.subject47A16
dc.titleThe range of operators on von Neumann algebras
dc.typetext

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