Strong uniqueness of best approximations in an abstract \(L_ 1\) space (Q1122084)
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scientific article; zbMATH DE number 4105542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong uniqueness of best approximations in an abstract \(L_ 1\) space |
scientific article; zbMATH DE number 4105542 |
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Strong uniqueness of best approximations in an abstract \(L_ 1\) space (English)
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1988
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If X is a Banach space \(L_ 1(S,\Sigma,\mu)\) when (S,\(\Sigma\),\(\mu)\) is a positive measure space or, equivalently, if X is an abstract \(L_ 1\) space, and M is a finite dimensional subspace of X then the set of elements of X which have a strongly unique best approximation in M is dense in the set of elements which have a unique best approximation in M.
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Banach space
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strongly unique best approximation
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