Almost invariant half-spaces of operators on Banach spaces

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dc.creatorAndroulakis, George
dc.creatorPopov, Alexey I.
dc.creatorTcaciuc, Adi
dc.creatorTroitsky, Vladimir G.
dc.date2009-01-07
dc.date.accessioned2026-07-07T12:27:08Z
dc.date.available2026-07-07T12:27:08Z
dc.descriptionWe introduce and study the following modified version of the Invariant Subspace Problem: whether every operator T on a Banach space has an almost invariant half-space, that is, a subspace Y of infinite dimension and infinite codimension such that Y is of finite codimension in T(Y). We solve this problem in the affirmative for a large class of operators which includes quasinilpotent weighted shift operators on l_p (1 \le p < \infty) or c_0.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0901.0752
dc.identifierhttp://arxiv.org/abs/0901.0752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215104
dc.subjectFunctional Analysis
dc.subject47A15
dc.titleAlmost invariant half-spaces of operators on Banach spaces
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