A generalization of a classic theorem in the perturbation theory for linear operators

DOI10.1006/jmaa.1999.6558zbMath0944.47009OpenAlexW2005722356MaRDI QIDQ1961034

Yanyan Li

Publication date: 17 January 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6558

zbMATH Keywords

rangenull spaceNeumann lemmacomplementary subspace

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55)

Related Items (4)

Perturbation of the Moore-Penrose metric generalized inverse in reflexive strictly convex Banach spaces ⋮ Lower and upper bounds for the perturbation of linear operators equations ⋮ Perturbations of \(p\)-adic linear operations ⋮ Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces

Cites Work

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• On the perturbation of the least squares solutions in Hilbert spaces
• 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 generalized inverses of linear operators in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Perturbation Results for Projecting a Point onto a Linear Manifold

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