On the Metric Structure of Hyperspaces with HAUSDORFF Metric
β Scribed by Christoph Bandt
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 513 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
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 |2Γ p&1| , for every subspace M of L
The last years many results have been published about the existence of a RIEMANNian metric on a differentiable manifold, with prescribed RICCI tensor. However, if the RIEMANNian manifold (M, (,)) has positive RICCI curvature, then the RICCI tensor defines a new RIEMANNian metric on M, which is denot