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The Denjoy–Wolff Theorem in the Open Unit Ball of a Strictly Convex Banach Space

✍ Scribed by Jaroslaw Kapeluszny; Tadeusz Kuczumow; Simeon Reich

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 122 KB
Volume: 143
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1786

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✦ Synopsis

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 !.

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