Property (R) under compact perturbations

DOI10.1007/S00009-020-01506-6zbMath1444.47007OpenAlexW3013396069MaRDI QIDQ2310460

Boting Jia, Youling Feng

Publication date: 6 April 2020

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

Full work available at URL: https://doi.org/10.1007/s00009-020-01506-6

zbMATH Keywords

Weyl's theoremToeplitz operatorscompact operatorsproperty (R)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Linear operator approximation theory (47A58)

Related Items (5)

Property \((UW_\Pi)\) for functions of operators and compact perturbations ⋮ Property \((R)\) for upper triangular operator matrices ⋮ Weyl type theorem for bounded linear operator and its functional calculus ⋮ Property \((R)\) for functions of operators and its perturbations ⋮ Compact perturbations of operators with property \((t)\)

Cites Work

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• Property \((R)\) for bounded linear operators
• Property \((R)\) under perturbations
• Weyl's theorem for nonnormal operators
• THE RIESZ DECOMPOSITION THEOREM FOR SKEW SYMMETRIC OPERATORS

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