On the filling in holes problem for operator matrices

DOI10.1016/J.LAA.2008.08.022zbMath1151.47005OpenAlexW2014692717MaRDI QIDQ958046

Xiaoling Chen, Shifang Zhang, Huai Jie Zhong

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.08.022

zbMATH Keywords

operator matricesBrowder essential approximate point spectrumlower semi-Fredholm spectrumupper semi-Fredholm spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (5)

Drazin invertibility of upper triangular operator matrices ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Continuous spectrum, point spectrum and residual spectrum of operator matrices ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ Generalized Drazin spectrum of operator matrices

Cites Work

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• Weyl's theorem for upper triangular operator matrices
• A note on Browder spectrum of operator matrices
• Browder spectra and essential spectra of operator matrices
• Drazin spectrum of operator matrices on the Banach space
• Weyl's theorem for operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Browder spectra for upper triangular operator matrices
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Weyl spectra of operator matrices
• Browder's theorems and spectral continuity
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A note on Weyl’s theorem for operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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