Left and right generalized Drazin inverses for closed operators and application to singular linear equations

DOI10.1216/rmj.2021.51.225OpenAlexW3165910355MaRDI QIDQ1981353

Sanaa Messirdi, Sofiane Messirdi, Bekkai Messirdi, Setti Ayad-Djemai

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.225

zbMATH Keywords

closed linear operatorsingular linear equationGKD and SVEPleft generalized Drazin inversequasinilpotent perturbationright genaralized Drazin inverse

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear equations (linear algebraic aspects) (15A06)

Cites Work

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• A note on Drazin inverses
• Further results on left and right generalized Drazin invertible operators
• Linear boundary-value problems described by Drazin invertible operators
• The \(\sigma g\)-Drazin inverse and the generalized Mbekhta decomposition
• A generalized Drazin inverse
• On Isolated Points of the Spectrum of a Bounded Linear Operator
• Left and right generalized Drazin invertible operators
• Left and right generalized Drazin invertible operators and local spectral theory

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