Best approximation and unique extension of Lipschitz functions
✍ Scribed by Costică Mustăţa
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 394 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
We show that the set of semi-Lipschitz functions, defined on a quasi-metric space (X, d ), that vanish at a fixed point x 0 # X can be endowed with the structure of a quasi-normed semilinear space. This provides an appropriate setting in which to characterize both the points of best approximation an
In contrast to the complex case, the best Chebyshev approximation with respect to a finite-dimensional Haar subspace \(V \subset C(Q)\) ( \(Q\) compact) is always strongly unique if all functions are real valued. However, strong uniqueness still holds for complex valued functions \(f\) with a so-cal