Stable perturbation in Banach algebras
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Publication:5452627
DOI10.1017/S1446788700036892zbMath1173.46029OpenAlexW2109901725MaRDI QIDQ5452627
Publication date: 4 April 2008
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788700036892
Theory of matrix inversion and generalized inverses (15A09) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Topological algebras, normed rings and algebras, Banach algebras (46H99)
Related Items (7)
Perturbation bound for the Drazin inverse of the matrix-value function ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra ⋮ Perturbation Analysis for Oblique Projection Generalized Inverses ⋮ Perturbation analysis for Moore-Penrose inverse of closed operators on Hilbert spaces ⋮ Perturbation analysis for the Moore-Penrose metric generalized inverse of bounded linear operators
Cites Work
- The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
- Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
- Some equivalent conditions of stable perturbation of operators in Hilbert spaces
- Error bounds for a general perturbation of the Drazin inverse
- Perturbation of generalized inverses of linear operators in Hilbert spaces
- Perturbation analysis of the least squares solution in Hilbert spaces
- Perturbation of the Drazin inverse for closed linear operators
- Pseudo-Inverses in Associative Rings and Semigroups
- Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
- The Fredholm Elements of a Ring
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