The generalized Drazin inverse of an operator matrix with commuting entries

DOI10.1515/gmj-2023-2074OpenAlexW4387311978MaRDI QIDQ6126202

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 9 April 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2074

zbMATH Keywords

Banach algebraDrazin inverseBanach spaceblock-operator matrixanti-triangular matrix\(g\)-Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Generalized inverses (associative rings and algebras) (16U90)

Cites Work

• On the Drazin inverse of the sum of two matrices
• Additive and product properties of Drazin inverses of elements in a ring
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• The \((2,2,0)\) Drazin inverse problem
• Representations of the Drazin inverse for a class of block matrices
• Representations for the Drazin inverse of the sum of two matrices and its applications
• Cline's formula for the generalized Drazin inverse
• Solvability of certain quadratic operator equations and representations of Drazin inverses
• On the Drazin inverse of anti-triangular block matrices
• Representations of the Drazin inverse on solution of a class singular differential equations
• Additive results for the generalized Drazin inverse
• A generalized Drazin inverse
• The drazin invertibility of an anti-triangular matrix over a ring
• 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
• The generalized Drazin inverse of operator matrices

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