Renorming, Proximinal Subspaces, and Quotients in Banach Spaces
β Scribed by C. Franchetti; L. Vesely
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 287 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let N(X) be the set of all equivalent norms on a separable Banach space X, equipped with the topology of uniform convergence on bounded subsets of X. We show that if X is infinite dimensional, the set of all locally uniformly rotund norms on X reduces every coanalytic set and, thus, is in particular
If X is any separable Banach space containing l 1 , then there is a Lipschitz quotient map from X onto any separable Banach space Y.
In this paper we study spaces of mappings A : K Βͺ K satisfying Ax s x for all x g F, where K is a closed convex subset of a hyperbolic complete metric space and F is a closed convex subset of K. These spaces are equipped with natural Ε½ . complete uniform structures. We study the convergence of power
We define and characterize in Banach spaces the property of oscillation of a semidynamical system at the neighbourhood of a fixed point. The main idea of our investigation is to show that there does not exist a normal cone which would contain a nontrivial trajectory. ## 1998 Academic Press Let E b