Property \((R)\) for functions of operators and its perturbations

DOI10.1007/s00009-021-01942-yzbMath1496.47025OpenAlexW4206500861MaRDI QIDQ2067224

Xiaohong Cao, Lili Yang

Publication date: 17 January 2022

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

Full work available at URL: https://doi.org/10.1007/s00009-021-01942-y

zbMATH Keywords

stabilityproperty \((R)\)function of operator

Mathematics Subject Classification ID

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

Related Items (2)

Property \((R)\) for upper triangular operator matrices ⋮ Some spectral domain in approximate point-spectrum-preserving maps on \(\mathcal{B}(\mathcal{X})\)

Cites Work

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• Property \((R)\) for bounded linear operators
• Property \((R)\) under perturbations
• Property (R) under compact perturbations
• On the property \((gw)\)
• Another note on Weyl’s theorem
• a-Weyl's theorem and perturbations

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