On the semi-continuity of generalized inverses in Banach algebras

DOI10.1016/j.laa.2006.04.011zbMath1106.47004OpenAlexW1972920830MaRDI QIDQ854864

Qianglian Huang, Jipu Ma

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.04.011

zbMATH Keywords

Banach algebra\(C^*\)-algebraMoore-Penrose inversereflexive generalized inverselower semi-continuity

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 (1)

Topological and geometric property of matrix algebra

Cites Work

• On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\)
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• Perturbation of least squares problem in Hilbert spaces.
• Perturbation analysis of generalized inverses of linear operators in Banach spaces
• Perturbation analysis of the least squares solution in Hilbert spaces
• Rank theorems of operators between Banach spaces
• Inner, outer, and generalized inverses in banach and hilbert spaces
• On generalized inverses in C*-algebras
• Generalized inverses in C*-algebras II
• Continuity and differentiability of the Moore-Penrose inverse in $C^*$-algebras
• Representations for Moore-Penrose inverses in Hilbert spaces
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