Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications

DOI10.3906/mat-1605-8zbMath1438.46055OpenAlexW2617255240MaRDI QIDQ4633291

Honglin Zou, Dijana Mosić, Jian-Long Chen

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1605-8

zbMATH Keywords

Banach algebrablock matrixgeneralized Drazin inverseadditive result

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (8)

ps-drazin inverses in banach algebras ⋮ Expressions for the g-Drazin inverse in a Banach algebra ⋮ Representations for the Drazin inverse of the sum of two matrices and its applications ⋮ The generalized Drazin inverse of an operator matrix with commuting entries ⋮ Generalized Hirano inverses in rings ⋮ Generalized Hirano inverses in Banach algebras ⋮ The g-Drazin inverse involving power commutativity ⋮ The g-Drazin inverse of the sum in Banach algebras

Cites Work

• On the Drazin inverse of the sum of two matrices
• Pseudo Drazin inverses in associative rings and Banach algebras
• Representations for the pseudo Drazin inverse of elements in a Banach algebra
• Several expressions for the generalized Drazin inverse of a block matrix in a Banach algebra
• Generalized Drazin inverses of anti-triangular block matrices
• New additive results for the generalized Drazin inverse
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz-Schur forms
• Further results on the generalized Drazin inverse of block matrices in Banach algebras
• Cline's formula for the generalized Drazin inverse
• Perturbation of the generalized Drazin inverse
• Additive results for the generalized Drazin inverse
• Some additive results for the generalized Drazin inverse in a Banach algebra
• A Course in Commutative Banach Algebras
• Some results on the generalized Drazin inverse of operator matrices
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• A note on Cline’s formula for the generalized Drazin inverse

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