Left and right generalized Drazin invertible operators

DOI10.1080/03081087.2014.962534zbMath1320.47001arXiv1512.02623OpenAlexW2038860963MaRDI QIDQ4981986

Mohammed Benharrat, Bekkai Messirdi, Kouider Miloud Hocine

Publication date: 23 March 2015

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

Full work available at URL: https://arxiv.org/abs/1512.02623

zbMATH Keywords

semi-regular operatorsgeneralized Drazin inversepseudo-Fredholm operatorsquasi-nilpotent operatorsleft and right generalized Drazin inverseleft and right generalized Drazin spectra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (15)

Upper and lower generalized Drazin invertible linear relations ⋮ Generalized Kato decomposition and essential spectra ⋮ On the index of pseudo B-Fredholm operator ⋮ Left and right-Drazin inverses in rings and operator algebras ⋮ Further results on left and right generalized Drazin invertible operators ⋮ Left and right generalized Drazin invertible operators and local spectral theory ⋮ Some characterizations of rightc-regularity and(b;c)-inverse ⋮ Left and right generalized Drazin inverses for closed operators and application to singular linear equations ⋮ Left and right generalized inverses ⋮ The perturbation classes problem for generalized Drazin invertible operators. I ⋮ Projections and isolated points of parts of the spectrum ⋮ The perturbation classes problem for generalized Drazin invertible operators. II ⋮ Spectral inclusion for \(C_0\)-semigroups Drazin invertible and quasi-Fredholm operators ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Generalized Kato decomposition, single-valued extension property and approximate point spectrum
• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• Semistable operators and singularly perturbed differential equations
• Pseudo-Inverses in Associative Rings and Semigroups
• Generalisation de la decomposition de kato aux opérateurs paranormaux et spectraux
• A generalized Drazin inverse
• The distance from the Apostol spectrum

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