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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

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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 !.