Perturbation of generalized inverses of linear operators in Hilbert spaces
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Publication:1916796
DOI10.1006/jmaa.1996.0095zbMath0867.47003OpenAlexW1975005610MaRDI QIDQ1916796
Publication date: 29 August 1996
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1996.0095
generalized inverseperturbation analysisleast square solutionbounded linear operator with closed range
Perturbation theory of linear operators (47A55) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
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Invariances of frame sequences under perturbations ⋮ On the continuity of generalized inverses of linear operators in Hilbert spaces. ⋮ On perturbations of woven pairs of frames ⋮ Some new perturbation theorems for generalized inverses of linear operators in Banach spaces ⋮ Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography ⋮ On the perturbation of the reduced minimum modulus of bounded linear operators. ⋮ Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces. ⋮ A generalization of a classic theorem in the perturbation theory for linear operators ⋮ On the Stable Perturbation and Nashed’s Condition for Generalized Inverses† ⋮ Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ Stable perturbation in Banach algebras ⋮ Perturbation of linear operators on Banach spaces: some applications to Schauder bases and frames ⋮ The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces ⋮ Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces ⋮ New perturbation results on pseudo-inverses of linear operators in Banach spaces
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