Property \((UW_\Pi)\) for functions of operators and compact perturbations

DOI10.1007/s00009-022-02073-8OpenAlexW4283212997WikidataQ114232230 ScholiaQ114232230MaRDI QIDQ2149913

Xiaohong Cao, Lili Yang

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1007/s00009-022-02073-8

zbMATH Keywords

compact perturbationfunction of operatorproperty \((UW_\Pi)\)

Mathematics Subject Classification ID

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

Cites Work

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• SVEP and compact perturbations
• Weyl's theorem for functions of operators and approximation
• Uniform ascent and descent of bounded operators
• Property \((UW{\scriptstyle \Pi})\) under perturbations
• Property (R) under compact perturbations
• Property \((UW_\Pi )\) and perturbations
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Property (UWΠ) and localized SVEP
• NEW BROWDER AND WEYL TYPE THEOREMS

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