The intersection of essential approximate point spectra of operator matrices

DOI10.1016/j.jmaa.2005.11.032zbMath1108.47013OpenAlexW1985103891MaRDI QIDQ855433

Yuan Li, Hong-Ke Du

Publication date: 7 December 2006

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.2005.11.032

zbMATH Keywords

indexdefect numberssemi-Fredholm operatorleft essential spectrumright essential spectrum\(2\times 2\) operator matrixperturbations of spectra

Mathematics Subject Classification ID

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

Related Items (15)

The intersection of left (right) spectra of \(2 \times 2\) upper triangular operator matrices ⋮ The point spectrum and residual spectrum of upper triangular operator matrices ⋮ Characterizations on upper semi-Fredholmness of two-by-two operator matrices ⋮ Unnamed Item ⋮ The upper semi-Weylness and positive nullity for operator matrices ⋮ Weyl spectrum of upper triangular operator matrices ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ Unnamed Item ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ A note on the left essential spectra of operator matrices ⋮ The intersection of upper and lower semi-Browder spectrum of upper-triangular operator matrices ⋮ On the right (left) invertible completions for operator matrices ⋮ Some results on Fredholmness and boundedness below of an upper triangular operator matrix ⋮ Generalized Drazin spectrum of operator matrices ⋮ The semi-Fredholmness of \(2\times 2\) operator matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Essential approximate point spectra and Weyl's theorem for operator matrices
• On operator ranges
• Approximate point spectrum and commuting compact perturbations
• 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
• The boundedness below of \(2\times 2\) upper triangular operator matrices

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