On the instability of non-semi-Fredholm operators under compact perturbations
type: Item
instance of: scholarly article
title: On the instability of non-semi-Fredholm operators under compact perturbations
zbMATH Open document ID: 0602.47008
DOI: 10.1016/0022-247X(86)90098-3
author: Victor M. Onieva
author: M. González
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The stability of several natural sets of the non-semi-Fredholm operators in a separable Hilbert space under compact perturbation has been studied by \textit{R. Bouldin} [J. Math. Anal. Appl. 87, 632-638 (1982; Zbl 0504.47019)]. The aim of the present article is to study this problem in arbitrary Banach spaces. We also derive a curious characterization of separable Banach spaces.
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 3971548
zbMATH Keywords: non-semi-Fredholm operators
zbMATH Keywords: compact perturbation
MaRDI profile type: Publication
cites work: The instability of non-semi-Fredholm operators under compact perturbations
cites work: Normally solvable operators and ideals associated with them
cites work: Q5526484
cites work: Semigroups of operators and measures of noncompactness
cites work: Q4136031
cites work: Note on a theorem of Murray
cites work: Q5184011
cites work: Q4200699
description: scientific article; zbMATH DE number 3971548