Ruston, Riesz and perturbation classes

DOI10.1016/j.jmaa.2011.12.030zbMath1253.47029OpenAlexW2065317404MaRDI QIDQ764933

Robin E. Harte, Dragan S. Djordjević, Snežana Č. Živković-Zlatanović

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.030

zbMATH Keywords

semigroupsFredholm elementsBrowder elementsholomorphically Rieszhomomorphisms of Banach algebrasperturbation classespolynomially RieszRiesz classesRuston elementsWeyl elements

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (10)

Generalized B-Fredholm Banach algebra elements ⋮ Drazin invertibility relative to some subsets of quasinilpotents and homomorphism ranges ⋮ Generalized Drazin Inverse and Commuting Riesz Perturbations ⋮ The perturbation classes problem for generalized Drazin invertible operators. I ⋮ Polynomially Riesz perturbations ⋮ Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach ⋮ The perturbation class of algebraic operators and applications ⋮ Fredholm theory in ordered Banach algebras ⋮ A note on Aupetit's perturbation theorem ⋮ Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the calkin algebra

Cites Work

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• \({\mathcal T}\)-Fredholm analysis and application to operator theory
• On the 0-spektrum of regular operators and the spectrum of measures
• Fredholm theory relative to a Banach algebra homomorphism
• Semigroups of operators and measures of noncompactness
• Ruston elements and fredholm theory relative to arbitrary homomorphisms
• ON LEFT AND RIGHT BROWDER OPERATORS
• Inessential Elements in Banach Algebras
• Spectral properties of elements in different Banach algebras
• A generalized Drazin inverse
• TOUCHE ROUCHE
• On almost essentially Ruston elements of a Banach algebra
• The Structure and Asymptotic Behavior of Polynomially Compact Operators
• Spectral theory of linear operators and spectral systems in Banach algebras

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