Weyl's theorem and its perturbations for the functions of operators

DOI10.7153/OAM-2018-12-69zbMath1448.47022OpenAlexW2904107941WikidataQ128746430 ScholiaQ128746430MaRDI QIDQ5229241

Junhui Liu, Xiaohong Cao, Jiong Dong

Publication date: 14 August 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2018-12-69

zbMATH Keywords

spectrumWeyl's theoremBrowder's theorem

Mathematics Subject Classification ID

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

Related Items (3)

Some spectral domain in approximate point-spectrum-preserving maps on \(\mathcal{B}(\mathcal{X})\) ⋮ Weyl type theorem for bounded linear operator and its functional calculus ⋮ Compact perturbations of operators with property \((t)\)

Cites Work

• Weyl's theorem for functions of operators and approximation
• On the Weyl spectrum
• Theorems on ascent, descent, nullity and defect of linear operators
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Property \((w)\) and perturbations
• Weyl spectra and Weyl's theorem
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Another note on Weyl’s theorem
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