Strongly unique best approximation in Banach spaces. II
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.
scientific article; zbMATH DE number 4073665