Relatively weakly open sets in closed balls of Banach spaces, and the centralizer
✍ Scribed by Julio Becerra Guerrero; Angel Rodríguez-Palacios
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- French
- Weight
- 255 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0025-5874
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📜 SIMILAR VOLUMES
Let X be a complex strictly convex Banach space with an open unit ball B. For each compact, holomorphic and fixed-point-free mapping f: B Ä B there exists ! # B such that the sequence [ f n ] of iterates of f converges locally uniformly on B to the constant map taking the value !.
In this paper, the topological structure of the solution set of a constrained semilinear di erential inclusion in a Banach space E is studied. It is shown that the set of all mild solutions, with values in a closed and, in general, thin subset D ⊂ E, is an R -set provided natural boundary conditions
Relative openness of quotient maps on the closed unit ball U of a normed linear space X is studied quantitatively. Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally unifo