On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses

DOI10.2298/FIL1719993ZzbMath1484.47005OpenAlexW2804880763WikidataQ130014810 ScholiaQ130014810MaRDI QIDQ5022793

Changpeng Zhu, Lanping Zhu, Qianglian Huang

Publication date: 19 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1719993z

zbMATH Keywords

convergenceuniform boundednessgeneralized inverseMoore-Penrose inversegroup inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces

Cites Work

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• On stable perturbations for outer inverses of linear operators in Banach spaces
• Full-rank representations of \(\{2, 4\}, \{2, 3\}\)-inverses and successive matrix squaring algorithm
• Complete rank theorem of advanced calculus and singularities of bounded linear operators
• On Jacobson's lemma and Drazin invertibility.
• The *congruence class of the solutions of some matrix equations
• On the Drazin index of regular elements
• On the perturbation of the group inverse and oblique projection
• The perturbation theory for the Drazin inverse and its applications
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• New perturbation results on pseudo-inverses of linear operators in Banach spaces
• Perturbation analysis of generalized inverses of linear operators in Banach spaces
• On the continuity of the group inverse in \(C^*\)-algebras
• Perturbation bounds for the Moore-Penrose inverse of operators
• Generalized inverses in C*-algebras II
• Continuity and differentiability of the Moore-Penrose inverse in $C^*$-algebras
• On the continuity of the group inverse
• Additive property of Drazin invertibility of elements in a ring
• A note on the Hyers-Ulam stability constants of closed linear operators
• An improvement on the perturbation of the group inverse and oblique projection

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