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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Bibliographic Details

Published in:	Bulletin of the Australian Mathematical Society Vol. 99; no. 2; pp. 274 - 283
Main Authors:	ASSADI, AMANOLLAH, FARZANEH, MOHAMAD ALI, MOHAMMADINEJAD, HAJI MOHAMMAD
Format:	Journal Article
Language:	English
Published:	Cambridge, UK Cambridge University Press 01.04.2019
Subjects:	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
Online Access:	Get full text
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