Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces
type: Item
instance of: scholarly article
title: Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces
zbMATH Open document ID: 1200.47019
author: Margot Salas-Brown
author: M. González
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-20T00:00:00Z
review text: Perturbation classes were introduced in Fredholm theory in order to study the stability of Fredholm and semi-Fredholm operators under additive perturbations. In this paper, the authors study the perturbation class \(P\Phi_{+}(L_p,Y)\) for upper semi-Fredholm operators when \(\Phi_{+}(L_p,Y)\) is nonempty, and the relations of this class with strictly singular operators.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5757933
zbMATH Keywords: semi-Fredholm operator
zbMATH Keywords: perturbation class
zbMATH Keywords: strictly singular operator
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.04.051
OpenAlex ID: W1994044641
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DOI: 10.1016/J.JMAA.2010.04.051
description: scientific article; zbMATH DE number 5757933