A note on Drazin invertibility for upper triangular block operators

DOI10.1007/s00009-013-0275-zzbMath1304.47005OpenAlexW2053021428MaRDI QIDQ358258

Hassane Zguitti

Publication date: 16 August 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0275-z

zbMATH Keywords

Drazin spectrumsingle-valued extension property (SVEP)upper triangular block operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Related Items (10)

Generalized Drazin Invertibility of Operator Matrices ⋮ The point spectrum, residual spectrum and continuous spectrum of upper-triangular operator matrices with given diagonal entries ⋮ Perturbing the spectrum of operator \(T_n^d(A)\) ⋮ New approach on the study of operator matrix ⋮ Weyl spectrum of upper triangular operator matrices ⋮ Generalized Weyl spectrum of upper triangular operator matrices ⋮ New extensions of Jacobson's lemma and Cline's formula ⋮ On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices ⋮ Generalized Weyl's theorem and property (gw) for upper triangular operator matrices ⋮ Essential spectrum of upper triangular operator matrices

Cites Work

• Perturbation of spectra of operator matrices and local spectral theory
• Drazin spectrum of operator matrices on the Banach space
• Upper triangular operator matrices, SVEP and Browder, Weyl theorems
• Operators with finite ascent
• The single valued extension property on a Banach space
• Spectral properties of some operator matrices
• Local spectral properties of a square matrix of operators
• Essential point spectra of operator matrices trough local spectral theory
• Spectral analysis using ascent, descent, nullity and defect
• Index of B-Fredholm operators and generalization of a Weyl theorem
• B-Fredholm and Drazin invertible operators through localized SVEP
• Riesz points of upper triangular operator matrices
• A note on Weyl’s theorem for operator matrices
• UPPER TRIANGULAR OPERATORS WITH SVEP
• Spectra of upper triangular operator matrices
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