The g-Drazin inverses of special operator matrices

DOI10.7153/oam-2021-15-11zbMath1495.47010OpenAlexW3142044604MaRDI QIDQ3383855

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 16 December 2021

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2021-15-11

zbMATH Keywords

Banach algebraoperator matrix\(g\)-Drazin inverse

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11) Operator matrices (47A08)

Cites Work

• Some results on the \((2, 2, 0)\) Drazin inverse problem
• The \((2,2,0)\) Drazin inverse problem
• Representations of the Drazin inverse for a class of block matrices
• Cline's formula for the generalized Drazin inverse
• Representations of the Drazin inverse on solution of a class singular differential equations
• The Drazln inverse and systems of second order linear differential equations
• Representations for generalized Drazin inverse of operator matrices over a Banach space
• New additive results for the g-Drazin inverse
• Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
• Additive results for the generalized Drazin inverse in a Banach algebra

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