Perturbations of spectra and property \((R)\) for upper triangular operator matrices

DOI10.1016/j.jmaa.2022.126797OpenAlexW4306885090MaRDI QIDQ2097589

Xiaohong Cao, Lili Yang

Publication date: 14 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126797

zbMATH Keywords

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

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Operator matrices (47A08)

Related Items (2)

The upper semi-Weylness and positive nullity for operator matrices ⋮ Some spectral domain in approximate point-spectrum-preserving maps on \(\mathcal{B}(\mathcal{X})\)

Cites Work

• Property \((R)\) for bounded linear operators
• Weyl type theorems of \(2 \times 2\) upper triangular operator matrices
• Property \((R)\) under perturbations
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• $a$-Weyl’s theorem for operator matrices
• Completions of upper-triangular matrices to left-Fredholm operators with non-positive index
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Drazin invertibility of upper triangular operator matrices

This page was built for publication: Perturbations of spectra and property \((R)\) for upper triangular operator matrices