Strong unicity of best approximations in $L_ \infty (S,\Sigma ,\mu )$
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- by Ryszard Smarzewski PDF
- Proc. Amer. Math. Soc. 103 (1988), 113-116 Request permission
Abstract:
We prove that the set of functions in a Banach space ${L_\infty }(S,\sum ,\mu )$, which have a strongly unique best approximation in a finite dimensional subspace, is dense in the set of functions having a unique best approximation in the subspace.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 113-116
- MSC: Primary 41A50; Secondary 41A52, 46E10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0938653-6
- MathSciNet review: 938653