On some restrictions of an operator to an invariant subspace

For Banach spaces we consider the bounded linear operators which are surjective and noninjective. We show some general properties of such mappings. We examine whether such operators can be restricted to an involution or a projection. Thus, we will show that there exist many invariant subspaces for t...

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Bibliographic Details

Published in:	Linear algebra and its applications Vol. 450; pp. 1 - 6
Main Author:	Wójcik, Paweł
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.06.2014
Subjects:	Bounded linear operator Invariant subspace Involution Projection Involution Invariant subspace 47A15 47A05 Bounded linear operator Projection 47A53
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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