An approximation problem of the finite rank operator in Banach spaces

zbMath1218.47028MaRDI QIDQ551769

Shaorong Pan, Yu-Wen Wang

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

approximationBanach spacefinite rank operatorcompact linear operatorbounded homogeneous operator

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Linear operators defined by compactness properties (47B07) Linear operator approximation theory (47A58)

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The best generalised inverse of the linear operator in normed linear space ⋮ The generalized solution of ill-posed boundary problem ⋮ The quasi-linear operator outer generalized inverse with prescribed range and kernel in Banach spaces ⋮ Criteria for the metric generalized inverse and its selections in Banach spaces ⋮ Approximative compactness and Asplund property in Banach function spaces and in Orlicz-Bochner spaces in particular with application ⋮ Least Extremal Solutions of Ill-Posed Neumann Boundary Value Problem for Semilinear Elliptic Equations inL^p ⋮ Perturbation analysis for the Moore-Penrose metric generalized inverse of bounded linear operators

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