The p-Drazin inverse for operator matrix over Banach algebras

DOI10.2298/FIL2014597COpenAlexW3146975761MaRDI QIDQ5081356

Huanyin Chen, Tugce Pekacar Calci, Handan Kose, Honglin Zou

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2014597c

zbMATH Keywords

Banach algebraoperator matrix$p$-Drazin inverse

Mathematics Subject Classification ID

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

Cites Work

• New additive results on Drazin inverse and its applications
• Pseudo Drazin inverses in associative rings and Banach algebras
• Representations for the pseudo Drazin inverse of elements in a Banach algebra
• Additive results for the Drazin inverse of block matrices and applications
• Representations for the Drazin inverses of \(2 \times 2\) block matrices
• Generalized Drazin inverses of anti-triangular block matrices
• Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• The \((2,2,0)\) Drazin inverse problem
• Algebraic properties of generalized inverses
• Representations for the Drazin inverse of the sum of two matrices and its applications
• Additive property of pseudo Drazin inverse of elements in Banach algebras
• Some additive results for the generalized Drazin inverse in a Banach algebra
• Representations for generalized Drazin inverse of operator matrices over a Banach space
• The generalized and pseudo n-strong Drazin inverses in rings
• Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
• On the pseudo drazin inverse of the sum of two elements in a Banach algebra
• The generalized Drazin inverse of operator matrices
• Additive property of Drazin invertibility of elements in a ring
• The existence and representation of the Drazin inverse of a 2 × 2 block matrix over a ring

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