Expressions for the g-Drazin inverse in a Banach algebra

DOI10.2298/FIL2011845CMaRDI QIDQ5081269

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02642

zbMATH Keywords

Banach algebrablock matrixadditive propertygeneralized Drazin inversespectral idempotent

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05)

Cites Work

• The generalized Drazin inverse of the sum in a Banach algebra
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• New additive results for the generalized Drazin inverse
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• Block representations of the generalized Drazin inverse
• The Drazin inverse of bounded operators with commutativity up to a factor
• Cline's formula for the generalized Drazin inverse
• Additive results for the generalized Drazin inverse
• Some additive results for the generalized Drazin inverse in a Banach algebra
• Some results on the generalized Drazin inverse of operator matrices
• A generalized Drazin inverse
• Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications
• Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
• Generalized Drazin inverses in a ring
• Additive results for the generalized Drazin inverse in a Banach algebra
• Additive results for the generalized Drazin inverse in a Banach algebra

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