Representations for generalized Drazin inverse of operator matrices over a Banach space

DOI10.3906/mat-1502-27zbMath1424.46067arXiv1411.2067OpenAlexW2962928266MaRDI QIDQ4633121

Daochang Zhang

Publication date: 2 May 2019

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

Full work available at URL: https://arxiv.org/abs/1411.2067

zbMATH Keywords

Banach spaceoperator matrixgeneralized Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05)

Related Items

The p-Drazin inverse for operator matrix over Banach algebras, The g-Drazin inverses of anti-triangular block operator matrices, The g-Drazin inverses of special operator matrices

Cites Work

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• Further results on the group inverses and Drazin inverses of anti-triangular block matrices
• Representations for the Drazin inverses of \(2 \times 2\) block matrices
• On Drazin inverse of operator matrices
• Further results on the representation of the Drazin inverse of a \(2\times 2\) block matrix
• Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices -- application of perturbation theory for simple invariant subspaces
• Continuity and general perturbation of the Drazin inverse for closed linear operators
• On group inverse of singular Toeplitz matrices
• On Drazin inverse of singular Toeplitz matrix
• Cline's formula for the generalized Drazin inverse
• Formulas for the Drazin inverse of special block matrices
• On the Drazin inverse of the sum of two operators and its application to operator matrices
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• On the Generalized Drazin Inverse and Generalized Resolvent
• The generalized Schur complement in group inverses and (k + 1)-potent matrices
• Some results on the generalized Drazin inverse of operator matrices
• The Drazln inverse and systems of second order linear differential equations
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• The Index and the Drazin Inverse of Block Triangular Matrices
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• GROUP INVERSE AND GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES IN A BANACH ALGEBRA
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix