Approximation and strong approximation in normed spaces via tangent functionals

DOI10.1016/0021-9045(78)90060-6zbMath0377.41024OpenAlexW2093495183MaRDI QIDQ1246693

Pier Luigi Papini

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90060-6

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)

Related Items

Cosuns in \(\ell ^ p(n)\), \(1\leq p<\infty \). ⋮ Strong coapproximation in Banach spaces ⋮ Strongly unique best approximation in uniformly convex Banach spaces ⋮ Best coapproximation in normed linear spaces ⋮ Approximation and norm derivatives in real normed spaces ⋮ On best coapproximation in normed linear spaces ⋮ Strongly unique best approximation in Banach spaces ⋮ Characterization of inner product spaces ⋮ Strong uniqueness in nonlinear approximation ⋮ Characterizations of the strongly unique best approximations

Cites Work

• Characterizations of strong unicity in approximation theory
• Nonexpansive projections on subsets of Banach spaces
• On the generators of non-negative contraction semi-groups in Banach lattices
• Strongly unique best approximates to a function on a set, and a finite subset thereof
• Some theorems on Cebysev approximation
• A Characterization of Hilbert Space
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