The point spectrum and residual spectrum of upper triangular operator matrices

DOI10.2298/FIL1906759WzbMath1496.47006OpenAlexW3003809383MaRDI QIDQ5080799

Alatancang Chen, Jun-Jie Huang, Xiu Feng Wu

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1906759w

zbMATH Keywords

point spectrumresidual spectrumupper triangular operator matrix

Mathematics Subject Classification ID

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

Cites Work

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• Closed range and Fredholm properties of upper-triangular operator matrices
• Self-adjoint perturbations of spectra for upper triangular operator matrices
• Essential point spectra of operator matrices trough local spectral theory
• Browder spectra for upper triangular operator matrices
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• Perturbation of Spectrums of 2 × 2 Operator Matrices
• A note on the spectrum of an upper triangular operator matrix
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A note on Weyl’s theorem for operator matrices
• Spectra of upper triangular operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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