On the equivalence of Weyl theorem and generalized Weyl theorem

DOI10.1007/s10114-005-0720-4zbMath1116.47015OpenAlexW2087702679MaRDI QIDQ856825

Mohammed Berkani

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0720-4

zbMATH Keywords

polaroidWeyl's theoremsemi-Fredholm operatorparanormal operatorWeyl spectrumisoloidDrazin invertible operatorsemi-B-Fredholm operator

Mathematics Subject Classification ID

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

Related Items

New approach to a-Weyl's theorem through localized SVEP and Riesz-type perturbations ⋮ Polaroid operators with SVEP and perturbations of property \((gw)\) ⋮ A-Browder's theorem and generalized a-Weyl's theorem ⋮ Generalized Weyl theorem and tensor product ⋮ Properties \((B)\) and \((gB)\) for bounded linear operators ⋮ Unnamed Item ⋮ Variations of Weyl type theorems for upper triangular operator matrices ⋮ Property \((aBw)\) and Weyl type theorems ⋮ The stability of property (gt) under perturbation and tensor product ⋮ On a class of \((bz)\)-operators ⋮ On the class of \((W_e)\)-operators ⋮ Browder-type theorems and SVEP ⋮ Browder spectra and essential spectra of operator matrices ⋮ Orthogonality property \(\mathcal {O}\) and compact perturbations ⋮ Property (gb) and perturbations ⋮ An extension of a result of Djordjević and its applications ⋮ Property (Sw) for bounded linear operators

Cites Work

• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• Uniform ascent and descent of bounded operators
• Weyl's theorem for algebraically paranormal operators
• Spectral mapping theorem for approximate spectra and its applications
• B-Weyl spectrum and poles of the resolvent
• Theorems on ascent, descent, nullity and defect of linear operators
• An Atkinson-type theorem for B-Fredholm operators
• On semi B-Fredholm operators
• Index of B-Fredholm operators and generalization of a Weyl theorem
• Generalized Weyl's theorem and hyponormal operators
• Semi-Fredholm Operators with Finite Ascent or Descent and Perturbations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item