SVEP and compact perturbations

DOI10.1016/j.jmaa.2011.02.036zbMath1217.47011OpenAlexW2061925534MaRDI QIDQ534723

Yong-Cai Geng, Sumit K. Garg

Publication date: 10 May 2011

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.2011.02.036

zbMATH Keywords

compact perturbationsingle-valued extension property

Mathematics Subject Classification ID

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

Related Items (18)

Single-valued extension property and property \((\omega)\) ⋮ Property \((UW_\Pi)\) for functions of operators and compact perturbations ⋮ Some results about spectral continuity and compact perturbations ⋮ Perturbation of the spectra of complex symmetric operators ⋮ New approach to property (ω) for functions of operators ⋮ The decomposability for operator matrices and perturbations ⋮ The stability of the single valued extension property ⋮ Phases of sectorial operators ⋮ On left and right west-stampfli decomposition ⋮ Property \(\mathcal{P}\) and compact perturbations ⋮ Compact perturbations of Moore-Penrose invertible operators ⋮ Compact perturbations of both SVEP and Weyl's theorem for 3 × 3 upper triangular operator matrices ⋮ Property \((\omega)\) and its compact perturbations ⋮ Coburn type operators and compact perturbations ⋮ Orthogonality property \(\mathcal {O}\) and compact perturbations ⋮ Quasi-Fredholm spectrum and compact perturbations ⋮ Topological uniform descent and compact perturbations ⋮ On the stability of the localized single-valued extension property under commuting perturbations

Cites Work

• Weyl type theorems for operators satisfying the single-valued extension property
• Property \((w)\) and perturbations. III
• Upper triangular operator matrices, SVEP and Browder, Weyl theorems
• The single valued extension property on a Banach space
• Riesz points and Weyl's theorem
• Property \((w)\) and perturbations. II
• Spectral maximal spaces and decomposable operators in Banach space
• Property \((w)\) and perturbations
• A survey of the theory of spectral operators
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Asymptotic intertwining and spectral inclusions on Banach spaces
• WEYL'S THEOREM, $a$-WEYL'S THEOREM, AND LOCAL SPECTRAL THEORY
• Weyl's and Browder's theorems for operators satisfying the SVEP
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