A note on the left essential spectra of operator matrices

DOI10.1007/s10114-007-0966-0zbMath1151.47007OpenAlexW1974302694MaRDI QIDQ2481792

Yuan Li, Xiu-Hong Sun, Hong-Ke Du

Publication date: 15 April 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0966-0

zbMATH Keywords

semi-Fredholm operatorleft essential spectrumperturbations of spectra\(2 \times 2\) operator matrixoperator matrix representation

Mathematics Subject Classification ID

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

Related Items (4)

Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Browder spectra and essential spectra of operator matrices ⋮ Some results on Fredholmness and boundedness below of an upper triangular operator matrix ⋮ Generalized Drazin spectrum of operator matrices

Cites Work

• Unnamed Item
• The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices
• The intersection of essential approximate point spectra of operator matrices
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• On operator ranges
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Weyl spectra of operator matrices
• Browder's theorems and spectral continuity
• INTERSECTIONS OF THE LEFT AND RIGHT ESSENTIAL SPECTRA OF $2\times 2$ UPPER TRIANGULAR OPERATOR MATRICES
• Invertible completions of $2\times 2$ upper triangular operator matrices
• The boundedness below of \(2\times 2\) upper triangular operator matrices

This page was built for publication: A note on the left essential spectra of operator matrices