Generalized Weyl's theorem and hyponormal operators

DOI10.1017/S144678870000896XzbMath1061.47021MaRDI QIDQ4826160

A. Arroud, Mohammed Berkani

Publication date: 11 November 2004

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

zbMATH Keywords

hyponormal operatorspectral mapping theoremgeneralized Weyl's theoremB-Fredholm operatorB-Weyl spectrum

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (26)

A note on generalized Weyl's theorem ⋮ Spectral properties of \(k\)-quasi-\(M\)-hyponormal operators ⋮ Polaroid operators with SVEP and perturbations of property \((gw)\) ⋮ Generalized Browder's and Weyl's theorems for Banach space operators ⋮ On the equivalence of Weyl theorem and generalized Weyl theorem ⋮ Unnamed Item ⋮ Weyl type theorems for operators satisfying the single-valued extension property ⋮ Weyl type theorems for unbounded class-\(\mathcal {A}\) operators ⋮ On an elementary operator with 2-isometric operator entries ⋮ Unnamed Item ⋮ Weyl-type theorems for unbounded posinormal operators ⋮ A class of operators related to m-symmetric operators ⋮ Property \((aBw)\) and Weyl type theorems ⋮ On a class of \((bz)\)-operators ⋮ On the class of \((W_e)\)-operators ⋮ On Quasi-Class A Operators ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ Weyl-type theorems and \(k\)-quasi-\(M\)-hyponormal operators ⋮ A note on the Browder's and Weyl's theorem ⋮ Property (gb) and perturbations ⋮ \(B\)-Fredholm and spectral properties for multipliers in Banach algebras ⋮ Polaroid operators and Weyl type theorems ⋮ Spectral mapping theorems for Weyl spectrum and isolated spectral points ⋮ Property (Sw) for bounded linear operators ⋮ On an elementary operator withM-hyponormal operator entries ⋮ Unnamed Item

Cites Work

• On the Weyl spectrum: Spectral mapping theorem and Weyl's theorem
• Riesz points and Weyl's theorem
• On a class of quasi-Fredholm operators
• B-Weyl spectrum and poles of the resolvent
• Weyl's theorem for nonnormal operators
• Spectral analysis using ascent, descent, nullity and defect
• An Atkinson-type theorem for B-Fredholm operators
• Index of B-Fredholm operators and generalization of a Weyl theorem
• Pseudo-Inverses in Associative Rings and Semigroups
• Browder's theorems and spectral continuity

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