Browder spectra for upper triangular operator matrices

DOI10.1016/j.jmaa.2007.11.059zbMath1139.47006OpenAlexW2062768393MaRDI QIDQ2481860

Xiaohong Cao

Publication date: 15 April 2008

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.2007.11.059

zbMATH Keywords

semi-Fredholm operatoroperator matricesBrowder spectrumBrowder essential approximate point spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53)

Related Items (14)

Left- and right-Atkinson linear relation matrices ⋮ The point spectrum, residual spectrum and continuous spectrum of upper-triangular operator matrices with given diagonal entries ⋮ The point spectrum and residual spectrum of upper triangular operator matrices ⋮ Spectra of \(3 \times 3\) upper triangular operator matrices ⋮ Characterizations on upper semi-Fredholmness of two-by-two operator matrices ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ Characterizations of perturbations of spectra of \(2 \times 2\) upper triangular operator matrices ⋮ A note on Browder spectrum of operator matrices ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ On the filling in holes problem for 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 ⋮ On the invertibility of upper triangular operator matrices

Cites Work

• Weyl's theorem for operator matrices
• On the Weyl spectrum
• Essential approximate point spectra and Weyl's theorem for operator matrices
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Weyl's theorem for nonnormal operators
• An extension of Weyl's theorem to a class of not necessarily normal operators
• Perturbation of Spectrums of 2 × 2 Operator Matrices
• Weyl spectra of operator matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
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