On the continuity of generalized inverses of linear operators in Hilbert spaces.

DOI10.1016/S0024-3795(97)80033-XzbMath1052.47500MaRDI QIDQ1361841

O. Diekmann

Publication date: 1997

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

zbMATH Keywords

generalized inversecontinuity problemHilbert space operators

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (16)

Perturbation analysis of generalized inverses of linear operators in Banach spaces ⋮ On the semi-continuity of generalized inverses in Banach algebras ⋮ The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ On the perturbation of the reduced minimum modulus of bounded linear operators. ⋮ 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 ⋮ Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces. ⋮ 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 ⋮ A generalization of a classic theorem in the perturbation theory for linear operators ⋮ On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse ⋮ Continuity of generalized inverses of linear operators in Banach spaces and its applications ⋮ Spectral properties of absolutely minimum attaining operators ⋮ Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces ⋮ On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses

Cites Work

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• On the error estimate for the projection of a point onto a linear manifold
• Perturbation of the least squares problem
• The perturbation of consistent least squares problems
• Perturbation analysis for the projection of a point to an affine set
• On the perturbation of the least squares solutions in Hilbert spaces
• Perturbation of generalized inverses of linear operators in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces
• Perturbation theory for pseudo-inverses

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