ON THE DECOMPOSITION OF OPERATORS WITH SEVERAL ALMOST-INVARIANT SUBSPACES

We seek a sufficient condition which preserves almost-invariant subspaces under the weak limit of bounded operators. We study the bounded linear operators which have a collection of almost-invariant subspaces and prove that a bounded linear operator on a Banach space, admitting each closed subspace...

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Vydané v:	Bulletin of the Australian Mathematical Society Ročník 99; číslo 2; s. 274 - 283
Hlavní autori:	ASSADI, AMANOLLAH, FARZANEH, MOHAMAD ALI, MOHAMMADINEJAD, HAJI MOHAMMAD
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cambridge, UK Cambridge University Press 01.04.2019
Predmet:	Banach spaces Decomposition Invariants Linear operators Subspaces secondary 47A55 subspace defect almost-invariant subspace primary 47A15 finite-rank operator half-space
ISSN:	0004-9727, 1755-1633
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