Left-right Fredholm and Weyl spectra of the sum of two bounded operators and applications
type: Item
instance of: scholarly article
title: Left-right Fredholm and Weyl spectra of the sum of two bounded operators and applications
zbMATH Open document ID: 1342.47019
author: Hatem Baloudi
author: Aref Jeribi
published in: Mediterranean Journal of Mathematics
publication date: 2014-10-17T00:00:00Z
review text: The authors investigate the essential spectra of the sum of two linear and bounded operators acting on a complex Banach space by means of the essential spectra of the two operators where their products are Riesz operators.
reviewed by: Mohamed Zohry
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 82D75
zbMATH DE Number: 6358082
zbMATH Keywords: Fredholm operator
zbMATH Keywords: semi-Fredholm operator
zbMATH Keywords: essential spectrum
MaRDI profile type: Publication
full work available at URL: s00009-013-0372-z
OpenAlex ID: W2017760602
cites work: Gustafson, weidman, kato, wolf, schechter, browder, Rakočević and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator
cites work: Q5426256
cites work: Operators of Riesz type
cites work: The basic propositions on defect numbers, root numbers and indices of linear operators
cites work: Normally solvable operators and ideals associated with them
cites work: Q5526484
cites work: Boundary value problems in abstract kinetic theory
cites work: Fredholm operators, essential spectra and application to transport equations
cites work: A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation
cites work: Ascent, Descent, and Commuting Perturbations
cites work: Perturbation theory for nullity, deficiency and other quantities of linear operators
cites work: Compactness properties for linear transport operators with abstract boundary conditions in slab geometry
cites work: Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry
cites work: Some results on Fredholm operators, essential spectra, and application
cites work: Spectral theory of linear operators and spectral systems in Banach algebras
cites work: Q5513422
cites work: Q5612063
cites work: Q5538545
cites work: Q4378255
cites work: Left-right Browder and left-right Fredholm operators
cites work: ON LEFT AND RIGHT BROWDER OPERATORS
DOI: 10.1007/S00009-013-0372-Z
Recommended article: On the Fredholm and Weyl spectra of several commuting operators
Recommended article: The Spectral and Fredholm Theory of Extensions of Bounded Linear Operators
Recommended article: On the spectra of left-definite operators
Recommended article: Semi-Fredholm spectrum and Weyl's theorem for operator matrices
Recommended article: \(B\)-essential and \(B\)-Weyl spectra of sum of two commuting bounded operators
Recommended article: Fredholm, Weyl, and Browder essential spectra of weighted shift operators
Recommended article: Some results on Fredholm operators, essential spectra, and application
Recommended article: Left-right Browder and left-right Fredholm operators
Recommended article: Fredholm and local spectral theory. II: With application to Weyl-type theorems
Recommended article: Fredholm spectra and Weyl type theorems for Drazin invertible operators
description: scientific article; zbMATH DE number 6358082