Compact perturbations of both SVEP and Weyl's theorem for 3 × 3 upper triangular operator matrices

DOI10.1080/03081087.2019.1567676OpenAlexW2914710855WikidataQ114641299 ScholiaQ114641299MaRDI QIDQ5132623

Xiaohong Cao, Jiong Dong

Publication date: 12 November 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1567676

zbMATH Keywords

spectrumWeyl's theoremoperator matrix

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Operator matrices (47A08)

Cites Work

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• SVEP and compact perturbations
• Upper triangular operator matrices, SVEP and Browder, Weyl theorems
• Uniform ascent and descent of bounded operators
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Hereditarily polaroid operators, SVEP and Weyl's theorem
• Operator matrices: SVEP and Weyl's theorem
• Weyl's theorem for nonnormal operators
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Another note on Weyl’s theorem
• Weyl's and Browder's theorems for operators satisfying the SVEP

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