Upper triangular operator matrices, SVEP, and property \((w)\)

DOI10.1007/s40306-018-00307-0OpenAlexW2921640798MaRDI QIDQ2337364

Mohammad H. M. Rashid

Publication date: 19 November 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-00307-0

zbMATH Keywords

Weyl's theoremWeyl spectrumproperty \((w)\)upper triangular operator matricesPolaroid operatorssvep

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Related Items (4)

Variations of Weyl type theorems for upper triangular operator matrices ⋮ The decomposability for operator matrices and perturbations ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Fredholm spectra and Weyl type theorems for Drazin invertible operators
• Variations on Weyl's theorem
• Local spectral theory for Drazin invertible operators
• Upper triangular operator matrices, SVEP and Browder, Weyl theorems
• Essential point spectra of operator matrices trough local spectral theory
• Weyl's theorem for nonnormal operators
• Some characterizations of operators satisfying \(a\)-Browder's theorem
• Browder and Weyl spectra of upper triangular operator matrices
• Some perturbation results through localized SVEP

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