The g-Drazin invertibility of a block operator matrix

DOI10.1134/S0001434623110482MaRDI QIDQ6154114

Huanyin Chen, Marjan Sheibani Abdolyousefi

Publication date: 19 March 2024

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

zbMATH Keywords

Banach spaceblock operator matrixCline's formulaspectral idempotentG-Drazin inverse

Mathematics Subject Classification ID

General theory of linear operators (47Axx)

Cites Work

• The Drazin inverse of the sum of two matrices and its applications
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• On the Drazin inverse of an anti-triangular block matrix
• Formulas for the Drazin inverse of matrices with new conditions and its applications
• Some formulas on the Drazin inverse for the sum of two matrices and block matrices
• Representations of the Drazin inverse on solution of a class singular differential equations
• The drazin inverse of the sum of two matrices and its applications
• Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
• Generalizations of some conditions for Drazin inverses of the sum of two matrices
• The existence and representation of the Drazin inverse of a 2 × 2 block matrix over a ring

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