Strongly unique best approximation in Banach spaces

DOI10.1016/0021-9045(86)90026-2zbMath0615.41027OpenAlexW1992732601MaRDI QIDQ1820944

Ryszard Smarzewski

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90026-2

zbMATH Keywords

Banach spacesstrong unicityabstract spline

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items

Strongly unique minimization of functionals in Banach spaces with applications to theory of approximation and fixed points ⋮ On best approximation in \(L_ p\) spaces ⋮ Strongly unique best approximation in Banach spaces. II ⋮ Strong coapproximation in Banach spaces ⋮ Strongly unique best approximation in uniformly convex Banach spaces ⋮ Local strong uniqueness ⋮ Convexity and proximinality in Banach space ⋮ On some \(L^ p\) inequalities in best approximation theory ⋮ Resolvent flows for convex functionals and \(p\)-harmonic maps ⋮ Strong unicity of order 2 in C(T) ⋮ Strongly unique best approximations and centers in uniformly convex spaces ⋮ An L^p inequality and its applications to fixed point theory and approximation theory ⋮ Correlation in \(L^p\)-spaces ⋮ On best uniform restricted range approximation in complex-valued continuous function spaces.

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