Strongly unique best approximation in Banach spaces. II (Q1110756)
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scientific article; zbMATH DE number 4073665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly unique best approximation in Banach spaces. II |
scientific article; zbMATH DE number 4073665 |
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Strongly unique best approximation in Banach spaces. II (English)
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1987
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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.
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Lebesgue space
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Hardy space
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Banach space
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strong uniqueness
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Sobolev spaces
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