Fredholm spectra and Weyl type theorems for Drazin invertible operators

DOI10.1007/s00009-016-0751-3zbMath1369.47003OpenAlexW2442397976MaRDI QIDQ346915

Pietro Aiena, Salvatore Triolo

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-016-0751-3

zbMATH Keywords

Fredholm theoryBrowder and Weyl type theoremsDrazin invertible operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Local spectral properties of linear operators (47A11)

Related Items (12)

Unnamed Item ⋮ Drazin inverse of Lambert conditional type operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some results on the classes of D-normal operators and n-power D-normal operators ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2 ⋮ The local spectral theory for linear relations involving SVEP ⋮ Topological uniform descent, quasi-Fredholmness and operators originated from semi-B-Fredholm theory ⋮ Property \((UW{\scriptstyle \Pi})\) under perturbations ⋮ A note on Koliha-Drazin invertible operators and a-Browder's theorem ⋮ Upper triangular operator matrices, SVEP, and property \((w)\) ⋮ Further characterizations of property (VΠ) and some applications

Cites Work

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• Variations on Weyl's theorem
• Local spectral theory for Drazin invertible operators
• Weyl type theorems for left and right polaroid operators
• Polaroid type operators under quasi-affinities
• Property (\textit{gab}) through localized SVEP
• Browder's theorems through localized SVEP
• Some characterizations of operators satisfying \(a\)-Browder's theorem
• An Atkinson-type theorem for B-Fredholm operators
• Pseudo-Inverses in Associative Rings and Semigroups
• Drazin inverses of operators with rational resolvent
• On the axiomatic theory of spectrum II
• Spectral theory of linear operators and spectral systems in Banach algebras

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