On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices

DOI10.1080/03081087.2015.1082959zbMath1380.47010arXiv1503.06611OpenAlexW2165890878MaRDI QIDQ5741202

Hassane Zguitti, Hassan Zariouh

Publication date: 22 July 2016

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

Full work available at URL: https://arxiv.org/abs/1503.06611

zbMATH Keywords

operator matricessingle-valued extension propertygeneralized Drazin invertibilitygeneralized Drazin spectrumpseudo B-Weyl operator

Mathematics Subject Classification ID

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

Related Items (15)

Generalized Drazin Invertibility of Operator Matrices ⋮ Unnamed Item ⋮ A new characterization of Browder’s theorem ⋮ Generalized Kato decomposition and essential spectra ⋮ Limit points for left and right spectra of operator matrices ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ On the index of pseudo B-Fredholm operator ⋮ Generalized Drazin-type spectra of Operator matrices ⋮ Generalized Drazin invertibility of operator matrices ⋮ Pseudo B-Fredholm linear relations and spectral theory ⋮ Unnamed Item ⋮ Limit points for Browder spectrum of operator matrices ⋮ Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the calkin algebra ⋮ A new characterization of generalized Browder’s theorem and a cline’s formula for generalized Drazin-eromorphic inverses ⋮ Symmetric difference between pseudo B-Fredholm spectrum and spectra originated from fredholm theory

Cites Work

• Unnamed Item
• A note on Drazin invertibility for upper triangular block operators
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• 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
• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• On a class of quasi-Fredholm operators
• Local spectral theory for \(2\times 2\) operator matrices
• New results on common properties of the products \(AC\) and \(BA\)
• Local spectral theory of shifts with operator-valued weights
• Essential point spectra of operator matrices trough local spectral theory
• Generalized Drazin spectrum of operator matrices
• Spectral analysis using ascent, descent, nullity and defect
• Index of B-Fredholm operators and generalization of a Weyl theorem
• On the Generalized Drazin Inverse and Generalized Resolvent
• A generalized Drazin inverse
• Differentiability of the g-Drazin inverse
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Drazin invertibility of upper triangular operator matrices

This page was built for publication: On pseudo B-Weyl operators and generalized Drazin invertibility for operator matrices