Weyl's theorem for upper triangular operator matrices
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Publication:556876
DOI10.1016/j.laa.2004.12.005zbMath1129.47301OpenAlexW2039732131MaRDI QIDQ556876
Xiaohong Cao, Maozheng Guo, Bin Meng
Publication date: 23 June 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.12.005
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)
Related Items (14)
Hypercyclicity and Weyl type theorems for operator matrices ⋮ Browder spectra of upper-triangular operator matrices ⋮ Operator matrices and their Weyl type theorems ⋮ Variations of Weyl type theorems for upper triangular operator matrices ⋮ Weyl type theorems of \(2 \times 2\) upper triangular operator matrices ⋮ Essential spectra of upper triangular relation matrices ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ A unifying approach to Weyl type theorems for Banach space operators ⋮ Drazin spectrum of operator matrices on the Banach space ⋮ Essential point spectra of operator matrices trough local spectral theory ⋮ On the filling in holes problem for operator matrices ⋮ Generalized Drazin spectrum of operator matrices ⋮ Unnamed Item ⋮ Generalized Weyl's theorem and property (gw) for upper triangular operator matrices
Cites Work
- The single valued extension property on a Banach space
- Weyl's theorem for operator matrices
- Theorems on ascent, descent, nullity and defect of linear operators
- Spectral analysis using ascent, descent, nullity and defect
- Another note on Weyl’s theorem
- 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
- Unnamed Item
- Unnamed Item
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