Spectral continuity relative to invariant subspaces
type: Item
instance of: scholarly article
title: Spectral continuity relative to invariant subspaces
zbMATH Open document ID: 1422.47010
author: Salvador Sánchez-Perales
author: Slaviša Djordjevic
published in: Complex Analysis and Operator Theory
publication date: 2017-04-20T00:00:00Z
review text: Let \(E\) be a closed subspace of a Banach space \(X\). For the set of all linear operators on \(X\) for which \(E\) is invariant, the authors investigate convergence of the spectra and some of their standard subsets in the case of convergence of the sequence of operators. Similar problems are solved for restrictions of these operators on \(E\) and for induced operators on \(X/E\).
reviewed by: Vladimir S. Pilidi
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 6706379
zbMATH Keywords: invariant subspace
zbMATH Keywords: spectrum
zbMATH Keywords: continuity of the spectrum
zbMATH Keywords: \(\nu \)-convergence
MaRDI profile type: Publication
full work available at URL: s11785-016-0620-x
OpenAlex ID: W2557727124
cites work: Spectral computations for bounded operators
cites work: Q5635885
cites work: Restrictions of bounded linear operators: Closed range
cites work: Q5426255
cites work: Q4183264
cites work: Q4054260
cites work: Q3666156
cites work: Operators that are points of spectral continuity
cites work: Operators that are points of spectral continuity. II
cites work: Spectral properties of linear operator through invariant subspaces
cites work: Spectral continuity for operator matrices
cites work: Partially hyper invariant subspaces
cites work: Another note on Weyl’s theorem
cites work: Exactness, invertibility and the Love Knot
cites work: The variation of spectra
cites work: Spectral continuity using \(\nu\)-convergence
DOI: 10.1007/S11785-016-0620-X
description: scientific article; zbMATH DE number 6706379