On the generalizations of Denjoy-Wolff theorem
✍ Scribed by Xu Lifang; Yang Huanhuan
- Book ID
- 119527946
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 255 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0252-9602
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If B is the open unit ball of a strictly convex Banach space (X, & }&) and f : B Ä B is holomorphic, condensing with respect to : & } & , and fixed-point-free, then there exists ! # B such that the sequence [ f n ] of the iterates of f converges in the compact-open topology to the constant map takin
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 !.