The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces

DOI10.1090/S0002-9939-06-08377-8zbMath1110.47001OpenAlexW1537561240MaRDI QIDQ3419910

Hong-Ke Du, Chun-Yuan Deng

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08377-8

zbMATH Keywords

Hilbert spaceDrazin inversereduced minimum modulusgap between two subspaces

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items (8)

Certain properties of T-EP operators ⋮ New additive results for the Drazin inverse of multivalued operators ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces ⋮ On the invertibility of the operatorA-XB ⋮ Some results on the generalized Drazin inverse of operator matrices ⋮ New additive results for the generalized Drazin inverse ⋮ A note on additive results for the Drazin inverse

Cites Work

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• The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
• Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces.
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Perturbation of least squares problem in Hilbert spaces.
• Generalized inverses. Theory and applications.
• Perturbation of generalized inverses of linear operators in Hilbert spaces
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• Additive results for the generalized Drazin inverse
• A Characterization and Representation of the Drazin Inverse
• A new characterization of gaps between two subspaces
• Some additive results on Drazin inverse
• A characterization of the Drazin inverse

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