Integral and limit representations of the outer inverse in Banach space

DOI10.1080/03081087.2011.598154zbMath1239.47002OpenAlexW2094992879MaRDI QIDQ2879660

Jin Zhong, Yaoming Yu, Xiaoji Liu, Yi-Min Wei

Publication date: 29 March 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.598154

zbMATH Keywords

representationbounded linear operatorouter inverse \(A_{T,S}^{(2)}\)

Mathematics Subject Classification ID

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

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Cites Work

• A note on computing the generalized inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space.
• Perturbation of the Drazin inverse for closed linear operators
• Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• The \(\sigma g\)-Drazin inverse and the generalized Mbekhta decomposition
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• On the Generalized Drazin Inverse and Generalized Resolvent
• The weighted g-Drazin inverse for operators
• The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces
• Inner, outer, and generalized inverses in banach and hilbert spaces
• A generalized Drazin inverse
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

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