On two-loci of metric projections
โ Scribed by F. S. de Blasi, N. V. Zhivkov
- Book ID
- 113013942
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 102 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this note we give an example of a strictly convex, reflexive, smooth Banach space which has a Chebyshev subspace \(M\), such that the projection onto \(M\) is linear and has norm equal to 2 . Moreover, we give necessary and sufficient conditions on a space so that every projection has norm less t
Let X be a Banach space. Given M a subspace of X we denote with P M the metric projection onto M. We define ?(X ) :=sup [&P M &: M a proximinal subspace of X]. In this paper we give a bound for ?(X ). In particular, when X=L p , we obtain the inequality &P M & 2 |2ร p&1| , for every subspace M of L