The g-Drazin inverse of the sum in Banach algebras

DOI10.1080/03081087.2019.1710102OpenAlexW2999259944WikidataQ126407019 ScholiaQ126407019MaRDI QIDQ5023595

Huanyin Chen, Marjan Sheibani Abdolyousefi

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1710102

zbMATH Keywords

perturbationBanach algebraadditive propertymultiplicative propertyg-Drazin inverse

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Additive and product properties of Drazin inverses of elements in a ring
• The generalized Drazin inverse of the sum in a Banach algebra
• New additive results for the generalized Drazin inverse
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• The Drazin inverse of bounded operators with commutativity up to a factor
• Reverse order laws on the conditions of the 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
• New additive results for the g-Drazin inverse
• Generalized Drazin inverses in a ring
• Additive property of Drazin invertibility of elements in a ring
• New 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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