Continuity of generalized inverses of linear operators in Banach spaces and its applications

DOI10.1007/BF03246276zbMath1171.47300OpenAlexW2350537876MaRDI QIDQ957635

Jipu Ma, Qianglian Huang

Publication date: 1 December 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03246276

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear relations (multivalued linear operators) (47A06)

Related Items (6)

\(K\)-frames for Banach spaces ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators ⋮ Some new perturbation results for generalized inverses of closed linear operators in Banach spaces ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces

Cites Work

• The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
• On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\)
• (1. 2) inverses of operators between Banach spaces and local conjugacy theorem
• Convergence of Newton-like methods for singular operator equations using outer inverses
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
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