The best generalised inverse of the linear operator in normed linear space

DOI10.1016/j.laa.2006.04.024zbMath1114.47001OpenAlexW2008995872MaRDI QIDQ865442

Yu-Wen Wang, Ping Liu

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.04.024

zbMATH Keywords

normed spacereflexive Banach spacelinear equationMoore-Penrose inversebest generalized inverse

Mathematics Subject Classification ID

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

Related Items (8)

Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Perturbation of the Moore-Penrose metric generalized inverse in reflexive strictly convex Banach spaces ⋮ Unnamed Item ⋮ The quasi-linear operator outer generalized inverse with prescribed range and kernel in Banach spaces ⋮ The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse ⋮ Perturbation analysis of the Moore-Penrose metric generalized inverse with applications ⋮ Duality Mapping for Schatten Matrix Norms

Cites Work

• An approximation problem of the finite rank operator in Banach spaces
• Geometry of Banach spaces. Selected topics
• Approximate compactness in Orlicz spaces
• Metric generalized inverse of linear operator in Banach space
• Metric generalized inverse for linear manifolds and extremal solutions of linear inclusion in Banach spaces
• The best generalized inverse
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