Property \((R)\) for upper triangular operator matrices

DOI10.1007/s10114-023-1306-8zbMath1518.47007MaRDI QIDQ6043148

Xiaohong Cao, Lili Yang

Publication date: 4 May 2023

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

zbMATH Keywords

spectrumproperty \((R)\)upper triangular operator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11) Operator matrices (47A08)

Cites Work

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• Property \((R)\) for bounded linear operators
• Property (b) and property (w) for operator matrices
• Weyl type theorems of \(2 \times 2\) upper triangular operator matrices
• Weyl's theorem for operator matrices
• Property \((R)\) under perturbations
• Property \((R)\) for functions of operators and its perturbations
• Property (R) under compact perturbations
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Theorems on ascent, descent, nullity and defect of linear operators
• A note on Weyl’s theorem for operator matrices

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