Lomonosov's Invariant Subspace Theorem for Multivalued Linear Operators

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dc.creatorSaveliev, Peter
dc.date2000-08-29
dc.date.accessioned2026-07-07T04:37:01Z
dc.date.available2026-07-07T04:37:01Z
dc.descriptionThe famous Lomonosov's invariant subspace theorem states that if a continuous linear operator T on an infinite-dimensional normed space E "commutes" with a compact nonzero operator K, i.e., TK=KT, then T has a non-trivial closed invariant subspace. We generalize this theorem for multivalued linear operators.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0008214
dc.identifierhttp://arxiv.org/abs/math/0008214
dc.identifierProc. Amer. Math. Soc. 131 (2003), 825-834
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59812
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subjectOperator Algebras
dc.subject47A15, 47A06 (primary), 46A32, 54C60 (secondary)
dc.titleLomonosov's Invariant Subspace Theorem for Multivalued Linear Operators
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