Drazin invertibility of upper triangular operator matrices

DOI10.1080/03081087.2012.698618zbMath1275.47004OpenAlexW2058421341MaRDI QIDQ5300049

Mohamed Boumazgour

Publication date: 24 June 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.698618

zbMATH Keywords

spectrumgeneralized derivationDrazin spectrum\(2\times 2\) upper triangular operator matrix

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47) (Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (7)

Generalized Drazin Invertibility of Operator Matrices ⋮ Invertibility properties of operator matrices on Hilbert spaces ⋮ Drazin invertibility of upper triangular operator matrices ⋮ Generalized Drazin invertibility of operator matrices ⋮ On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices ⋮ On the invertibility of upper triangular operator matrices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• 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 semi-Fredholmness of \(2\times 2\) operator matrices
• A note on Drazin inverses
• Spectral analysis using ascent, descent, nullity and defect
• An Atkinson-type theorem for B-Fredholm operators
• Ascent spectrum and essential ascent spectrum
• A note on the spectrum of an upper triangular operator matrix
• Riesz points of upper triangular operator matrices

This page was built for publication: Drazin invertibility of upper triangular operator matrices