Integral representation of the \(W\)-weighted Drazin inverse for Hilbert space operators

DOI10.1016/j.amc.2010.04.047zbMath1191.47003OpenAlexW2092905024MaRDI QIDQ984373

Xiaoji Liu, Jin Zhong

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.047

zbMATH Keywords

Hilbert spaceintegral representationbounded linear operator\(W\)-weighted Drazin inverse

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (5)

A note on the perturbation bounds of W-weighted Drazin inverse ⋮ Representations and properties of theW-Weighted Drazin inverse ⋮ Recurrent neural network for computing the \(W\)-weighted Drazin inverse ⋮ The Drazin inverse in an arbitrary semiring ⋮ A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space

Cites Work

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• Integral representation of the \(W\)-weighted Drazin inverse
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• A weighted Drazin inverse and applications
• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• Generalized inverses. Theory and applications.
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• The perturbation theory for the Drazin inverse and its applications II
• Determinantal representation of the generalized inverse\bi A_{T,S}^{(2)}over integral domains and its applications
• The Weighted g-drazin inverse for operators
• The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces
• A Representation of the Drazin Inverse and Characterizations of the Index
• A Characterization and Representation of the Drazin Inverse
• ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
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