Property \((R)\) under perturbations

DOI10.1007/S00009-012-0174-8zbMath1275.47007OpenAlexW2035917268MaRDI QIDQ1943586

Pedro Peña, Pietro Aiena, Elvis Aponte, Jesús R. Guillén

Publication date: 20 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0174-8

zbMATH Keywords

property (R)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 (13)

Property \((R)\) for upper triangular operator matrices ⋮ Property \((W_E)\) and topological uniform descent ⋮ Unnamed Item ⋮ The stability of property (gt) under perturbation and tensor product ⋮ Weyl type theorem for bounded linear operator and its functional calculus ⋮ Coburn type operators and compact perturbations ⋮ Isolated eigenvalues, poles and compact perturbations of Banach space operators ⋮ Property (R) under compact perturbations ⋮ Property (\(t\)) and perturbations ⋮ Property \((R)\) for functions of operators and its perturbations ⋮ A note on the property \((gaR)\) and perturbations ⋮ Properties (\textit{BR}) and (\textit{BgR}) for bounded linear operators ⋮ Perturbations of spectra and property \((R)\) for upper triangular operator matrices

Cites Work

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• Weyl's theorems for some classes of operators
• Weyl's theorem and perturbations
• Variations on Weyl's theorem
• Weyl type theorems for left and right polaroid operators
• Property \((w)\) and perturbations. III
• The single valued extension property on a Banach space
• Hereditarily polaroid operators, SVEP and Weyl's theorem
• Property \((w)\) for perturbations of polaroid operators
• Property \((w)\) and perturbations. II
• Some characterizations of operators satisfying \(a\)-Browder's theorem
• Semi-Browder operators and perturbations
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• On Drazin invertibility
• Another note on Weyl’s theorem
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Classes of operators satisfying a-Weyl's theorem
• Weyl's and Browder's theorems for operators satisfying the SVEP
• a-Weyl's theorem and perturbations
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