Frobenius theory fails for semigroups of positive maps on von Neumann algebras

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dc.creatorLuczak, Andrzej
dc.date2006-02-09
dc.date.accessioned2026-07-07T07:03:16Z
dc.date.available2026-07-07T07:03:16Z
dc.descriptionThe eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples, that mere positivity of the maps in question is not sufficient for Frobenius theory as in S. Albeverio and R. Høegh-Krohn, \emph{Frobenius theory of positive maps of von Neumann algebras}, Comm. Math. Phys. \bf{64}(1978), 83--94, to hold.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0602194
dc.identifierhttp://arxiv.org/abs/math/0602194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108908
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectPrimary: 46L55; Secondary: 28D05
dc.titleFrobenius theory fails for semigroups of positive maps on von Neumann algebras
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