On Weyl's theorem for functions of operators

DOI10.1007/s10114-019-7512-8zbMath1427.47004OpenAlexW2943815883WikidataQ127934547 ScholiaQ127934547MaRDI QIDQ2273241

Jiong Dong, Xiaohong Cao, Lei Dai

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-7512-8

zbMATH Keywords

spectrumWeyl's theoremfunctions of operatorscompact perturbation

Mathematics Subject Classification ID

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

Related Items (4)

New approach to property (ω) for functions of operators ⋮ Weyl type theorem for bounded linear operator and its functional calculus ⋮ Unnamed Item ⋮ Compact perturbations of operators with property \((t)\)

Cites Work

• Weyl's theorem for functions of operators and approximation
• On the Weyl spectrum. II
• Weyl spectra and Weyl's theorem.
• 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
• On Kato non-singularity
• Semi-Fredholm Operators with Finite Ascent or Descent and Perturbations
• Contribution à l'étude des applications linéaires dans un espace de Banach
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