On local spectral properties of operator matrices

DOI10.1186/S13660-021-02697-6zbMath1495.47009OpenAlexW3202463488MaRDI QIDQ2072963

Ji Eun Lee, Eungil Ko, Il Ju An

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02697-6

zbMATH Keywords

Weyl's theoremhyperinvariant subspacesingle-valued extension propertydecomposable\(2\times 2\) operator matricesproperty \((\beta )\)

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11) Operator matrices (47A08)

Cites Work

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• Perturbation of spectra for a class of \(2\times 2\) operator matrices
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• On the Weyl spectrum
• Weyl's theorem for nonnormal operators
• Hyperinvariant subspaces for operators having a normal part
• Weyl spectra of operator matrices
• Weyl’s theorem holds for algebraically hyponormal operators
• Local spectral property of 2 x 2 operator matrices
• Hyperinvariant subspaces for some 2 × 2 operator matrices, II

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