Asymptotical behavior of subspaces under action of asymptotically finite-dimensional semigroups of operators

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dc.creatorStorozhuk, K.
dc.date2004-02-09
dc.date.accessioned2026-07-07T05:05:15Z
dc.date.available2026-07-07T05:05:15Z
dc.descriptionWe study a semigroup $ϕ$ of linear operators acting on a Banach space $X$ which satisfies the condition $\codim X_0<\infty$, where $X_0=\{x\in X \mid ϕ_t(x)\underset{t\to\infty}\longrightarrow 0\}.$ We show that $X_0$ is closed under these conditions. We establish some properties concerning the asymptotic behavior of subspaces which complement $X_0$ in $X$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0402123
dc.identifierhttp://arxiv.org/abs/math/0402123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70097
dc.subjectFunctional Analysis
dc.subject47D03
dc.titleAsymptotical behavior of subspaces under action of asymptotically finite-dimensional semigroups of operators
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