Isolated eigenvalues, poles and compact perturbations of Banach space operators

DOI10.7153/OAM-2019-13-67OpenAlexW2994645551WikidataQ126536078 ScholiaQ126536078MaRDI QIDQ5216881

Bhaggy Duggal

Publication date: 20 February 2020

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03542

zbMATH Keywords

compact perturbationsToeplitz operatorFredholm operatorpolesBanach space operatorSVEPabstract shift conditionleft poles

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Local spectral properties of linear operators (47A11) Operators on Banach spaces (47B01)

Related Items (2)

Normal Operators and their Generalizations ⋮ On the spectral mapping theorem for Weyl spectra of Toeplitz operators

Cites Work

• Property \((R)\) for bounded linear operators
• Property \((R)\) under perturbations
• Polynomially Meromorphic Operators
• GENERALIZED BROWDER, WEYL SPECTRA AND THE POLAROID PROPERTY UNDER COMPACT PERTURBATIONS
• Properties (S) and (gS) for bounded linear operators
• A new variation of Weyl type theorems and perturbations
• POLAROID OPERATORS AND GENERALIZED BROWDER—WEYL THEOREMS
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Polaroid type operators and compact perturbations
• Spectral theory of linear operators and spectral systems in Banach algebras
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