A theorem of Krein revisited

dc.creatorOikhberg, Timur
dc.creatorTroitsky, Vladimir G.
dc.date2002-09-24
dc.date.accessioned2026-07-07T04:51:13Z
dc.date.available2026-07-07T04:51:13Z
dc.descriptionM. Krein proved in 1948 that if T is a continuous operator on a normed space leaving invariant an open cone, then its adjoint T* has an eigenvector. We present generalizations of this result as well as some applications to C*-algebras, operators on l_1, operators with invariant sets, contractions on Banach lattices, the Invariant Subspace Problem, and von Neumann algebras.
dc.descriptionTo appear in Rocky Mountain J. Math
dc.identifierhttps://arxiv.org/abs/math/0209331
dc.identifierhttp://arxiv.org/abs/math/0209331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65066
dc.subjectFunctional Analysis
dc.subject46B40, 47B60, 47B65
dc.titleA theorem of Krein revisited
dc.typetext

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