On the perturbation of semi-Fredholm relations with complemented ranges and null spaces
type: Item
instance of: scholarly article
title: On the perturbation of semi-Fredholm relations with complemented ranges and null spaces
zbMATH Open document ID: 1214.47009
publication date: 2010-11-17T00:00:00Z
review text: The author gives a multivalued version of a compact additive perturbation result of closed operators acting on Banach spaces. The proof is different to the one used in the corresponding single-valued version. Multivalued semi-Fredholm type linear operators with complemented ranges and null spaces are introduced. Conditions are obtained under which the classes given are stable under compact, strictly singular and cosingular additive perturbations.
reviewed by: Mohamed Zohry
Mathematics Subject Classification ID: 47A06
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 5816574
zbMATH Keywords: left-Atkinson relation
zbMATH Keywords: right-Atkinson relation
zbMATH Keywords: strictly singular
zbMATH Keywords: strictly cosingular
author: Teresa Álvarez
MaRDI profile type: Publication
full work available at URL: s10114-010-7700-z
OpenAlex ID: W2133357555
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DOI: 10.1007/S10114-010-7700-Z
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5816574