Weyl-type theorems on Banach spaces under compact perturbations

DOI10.1007/S00009-018-1176-YzbMath1482.47004OpenAlexW2804332639WikidataQ129782492 ScholiaQ129782492MaRDI QIDQ723846

Salvatore Triolo, Pietro Aiena

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1176-y

zbMATH Keywords

localized SVEPBrowder-type theorems and Weyl-type theorems

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)

Related Items (17)

Normal Operators and their Generalizations ⋮ Some results about spectral continuity and compact perturbations ⋮ Unnamed Item ⋮ New approach to property (ω) for functions of operators ⋮ On the spectral mapping theorem for Weyl spectra of Toeplitz operators ⋮ Further properties of an operator commuting with an injective quasi-nilpotent operator ⋮ An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components ⋮ Some new results on property \((UW {\scriptstyle \Pi})\) ⋮ Some results on the classes of D-normal operators and n-power D-normal operators ⋮ Unnamed Item ⋮ The local spectral theory for linear relations involving SVEP ⋮ a-Weyl’s theorem and hypercyclicity ⋮ Quasi-Fredholm spectrum and compact perturbations ⋮ Spectrum localization of a perturbed operator in a strip and applications ⋮ Some remarks on the spectral properties of Toeplitz operators ⋮ Further characterizations of property (VΠ) and some applications ⋮ B-Fredholm elements in primitive C*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Localized SVEP, property \((b)\) and property \((ab)\)
• Property \((R)\) for bounded linear operators
• Variations on Weyl's theorem
• Weyl type theorems for left and right polaroid operators
• On a class of quasi-Fredholm operators
• Weyl type theorems under compact perturbations
• Algebraically paranormal operators on Banach spaces
• A unifying approach to Weyl type theorems for Banach space operators
• Property \((w)\) and perturbations. II
• Browder's theorems through localized SVEP
• Some characterizations of operators satisfying \(a\)-Browder's theorem
• On semi B-Fredholm operators
• Index of B-Fredholm operators and generalization of a Weyl theorem
• Classes of operators satisfying a-Weyl's theorem
• The localized single-valued extension property and Riesz operators
• a-Weyl's theorem and perturbations

This page was built for publication: Weyl-type theorems on Banach spaces under compact perturbations