On the left (right) invertibility of operator matrices

DOI10.1080/03081087.2021.2013766zbMath1525.47010OpenAlexW4206449341MaRDI QIDQ6042736

Alatancang Chen, Jun-Jie Huang, Xiu Feng Wu

Publication date: 3 May 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.2013766

zbMATH Keywords

perturbation theoryselfadjointnessoperator matrixleft (right) invertible operatorleft (right) spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Operators on Hilbert spaces (general) (47B02) Operator matrices (47A08)

Cites Work

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• Perturbation of spectra of operator matrices and local spectral theory
• On the perturbations of spectra of upper triangular operator matrices
• Continuous spectrum, point spectrum and residual spectrum of operator matrices
• Complete controllability of spectrum assignment in infinite dimensional spaces
• Essential approximate point spectra and Weyl's theorem for operator matrices
• On Weyl completions of partial operator matrices
• Self-adjoint perturbations of spectra for upper triangular operator matrices
• Essential point spectra of operator matrices trough local spectral theory
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• A note on Weyl’s theorem for operator matrices
• Spectra of upper triangular operator matrices
• On the invertibility of upper triangular operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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