Strongly unique best approximation in Banach spaces. II
type: Item
instance of: scholarly article
title: Strongly unique best approximation in Banach spaces. II
zbMATH Open document ID: 0657.41022
DOI: 10.1016/0021-9045(87)90035-9
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: The author continues his study of strongly unique best approximation initiated in a previous paper under the same title [J. Approximation Theory 47, 184-194 (1986; Zbl 0615.41027)]. He shows that a best approximation by elements of a sun in a uniformly convex Banach space is strongly unique locally, and gives the global analogies also. He applies the latter results to derive strong uniqueness theorems for Lebesgue, Hardy and Sobolev spaces.
reviewed by: S.Aljančić
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 4073665
zbMATH Keywords: Lebesgue space
zbMATH Keywords: Hardy space
zbMATH Keywords: Banach space
zbMATH Keywords: strong uniqueness
zbMATH Keywords: Sobolev spaces
author: Ryszard Smarzewski
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90035-9
OpenAlex ID: W4212895076
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description: scientific article; zbMATH DE number 4073665