The representations of the g-Drazin inverse in a Banach algebra

DOI10.15672/hujms.754006zbMath1488.46083OpenAlexW3175573597MaRDI QIDQ5165059

Marjan Sheibani Abdolyousefi

Publication date: 15 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.754006

zbMATH Keywords

perturbationBanach algebraadditive property$g$-Drazin inverse

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Operator matrices (47A08)

Related Items (2)

A note on formulae for the generalized Drazin inverse of anti-triangular block operator matrices in Banach spaces ⋮ Exact expressions for the Drazin inverse of anti-triangular matrices

Cites Work

• Representations for the Drazin inverses of the sum of two matrices and some block matrices
• The Drazin inverse of the sum of two matrices and its applications
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• The computation of Drazin inverse and its application in Markov chains
• Block representations of the generalized Drazin inverse
• Cline's formula for the generalized Drazin inverse
• Some results on the generalized Drazin inverse of operator matrices
• The Drazln inverse and systems of second order linear differential equations
• New additive results for the g-Drazin inverse
• New additive results for the generalized Drazin inverse in a Banach algebra
• Generalized Inverses of Linear Transformations

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