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Relation between some properties of convexity of the unit ball of a Banach space

✍ Scribed by M. I. Kadets


Publisher
Springer US
Year
1983
Tongue
English
Weight
231 KB
Volume
16
Category
Article
ISSN
0016-2663

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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 Γ„ 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 !.