The semi-Fredholmness of \(2\times 2\) operator matrices

DOI10.1016/j.jmaa.2008.11.035zbMath1216.47019OpenAlexW2093160576MaRDI QIDQ1018681

Alatancang Chen, Guo-jun Hai

Publication date: 20 May 2009

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.2008.11.035

zbMATH Keywords

operator matricesright (left) Fredholm operatorright (left) essential spectrum

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53)

Related Items

Drazin invertibility of upper triangular operator matrices ⋮ An analogue to a result of Takahashi ⋮ Fredholm properties of upper triangular matrices of relations ⋮ On the point and residual spectrum of the operator matrix M_X ⋮ Weylness of 2 × 2 operator matrices ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ An analogue to a result of Takahashi. II ⋮ Different completions of \(A + CX\) ⋮ On the range of upper triangular relation matrices

Cites Work

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• Invertible completions of operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Essential point spectra of operator matrices trough local spectral theory
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• The boundedness below of \(2\times 2\) upper triangular operator matrices