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...

Full description

Saved in:
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 those operators. In respect to this, we will understand better the structure of many operators.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2014.02.049