Property \((w)\) and perturbations. III

DOI10.1016/j.jmaa.2008.11.081zbMath1171.47011OpenAlexW4213380685MaRDI QIDQ1014680

Pietro Aiena, Fernando Villafañe, Maria Teresa Biondi

Publication date: 29 April 2009

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.2008.11.081

zbMATH Keywords

polaroid operatorSVEPproperty (w)(semi-)Fredholm operatorsspectrum and resolvent of linear operatorsWeyl's theorems

Mathematics Subject Classification ID

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

Related Items (19)

New approach to a-Weyl's theorem through localized SVEP and Riesz-type perturbations ⋮ WEYL TYPE THEOREMS FOR FUNCTIONS OF OPERATORS ⋮ Generalized Weyl theorem and tensor product ⋮ Property \((aBw)\) and Weyl type theorems ⋮ The stability of the single valued extension property ⋮ Weyl's type theorems for linear relations satisfying the single valued extension property ⋮ Property \((R)\) under perturbations ⋮ Tensor product and property (b) ⋮ Property \((\omega)\) and its perturbations ⋮ Properties \((t)\) and \((gt)\) for bounded linear operators ⋮ Tensor products and property \((w)\) ⋮ Property \((R)\) for bounded linear operators ⋮ Coburn type operators and compact perturbations ⋮ Weyl type theorems under compact perturbations ⋮ SVEP and compact perturbations ⋮ Property \((\omega)\) and topological uniform descent ⋮ Property (gb) and perturbations ⋮ Weyl type theorems for left and right polaroid operators ⋮ Rakočević's property for generalized derivations

Cites Work

• Weyl's theorems for some classes of operators
• Variations on Weyl's theorem
• Isolated points of spectrum of (\(p,k\))-quasihyponormal operators
• Property \((w)\) for perturbations of polaroid operators
• Property \((w)\) and perturbations. II
• Analytically class A operators and Weyl's theorem
• Riesz projections for a class of Hilbert space operators
• Some characterizations of operators satisfying \(a\)-Browder's theorem
• Property \((w)\) and perturbations
• Weyl spectra and Weyl's theorem
• Semi-Browder operators and perturbations
• Asymptotic intertwining and spectral inclusions on Banach spaces
• Another note on Weyl’s theorem
• On (p,k)-quasihyponormal operators
• Classes of operators satisfying a-Weyl's theorem
• Weyl's and Browder's theorems for operators satisfying the SVEP
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