On the perturbation theory for Fredholm operators
type: Item
instance of: scholarly article
title: On the perturbation theory for Fredholm operators
zbMATH Open document ID: 0556.47010
author: Wilson Yoshihiro Akashi
published in: Osaka Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: This work is concerned with perturbation theory for Fredholm operators. In the classical theory of linear Fredholm operators a fundamental role is played by compact operators. In fact, a condition for an operator to be Fredholm is given in terms of compact operators, and it is known that the class of Fredholm operators is invariant under compact perturbations. The aim of this paper is to generalize these results introducing a new class of operators (l-set-contractive, demicompact and others) containing the class of compact operators.
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 3886595
zbMATH Keywords: perturbation theory for Fredholm operators
zbMATH Keywords: compact operators
zbMATH Keywords: compact perturbations
zbMATH Keywords: l-set-contractive
zbMATH Keywords: demicompact
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3886595