Weyl's theorem for perturbations of paranormal operators

DOI10.1090/S0002-9939-07-08582-6zbMath1117.47003OpenAlexW2057047277MaRDI QIDQ3438109

Jesús R. Guillén, Pietro Aiena

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08582-6

zbMATH Keywords

Weyl's theoremparanormal operatorslocalized SVEP

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

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Perturbations and Weyl’s theorem, Polaroid operators with SVEP and perturbations of property \((gw)\), Property \((w)\) and perturbations, Generalized Weyl's theorem for algebraically quasi-paranormal operators, Weyl type theorems for unbounded class-\(\mathcal {A}\) operators, Property \((R)\) under perturbations, Algebraically paranormal operators on Banach spaces, Weyl type theorems under compact perturbations, Hereditarily polaroid operators, SVEP and Weyl's theorem, Polaroid operators, SVEP and perturbed Browder, Weyl theorems, Weyl type theorems for left and right polaroid operators, Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity, Polaroid operators and Weyl type theorems, Unnamed Item

Cites Work

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• Weyl's theorem and perturbations
• The single valued extension property on a Banach space
• On the Weyl spectrum. II
• Weyl's theorem for algebraically paranormal operators
• Weyl's theorem for nonnormal operators
• Spectral theory. II. Resolutions of the identity
• Spectral operators
• Paranormal operators on Banach spaces
• Operators which have a closed quasi-nilpotent part
• Classes of operators satisfying a-Weyl's theorem
• Weyl's and Browder's theorems for operators satisfying the SVEP