The Denjoy–Wolff Theorem in the Open Uni
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Jaroslaw Kapeluszny; Tadeusz Kuczumow; Simeon Reich
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Article
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1999
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Elsevier Science
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English
⚖ 122 KB
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 !.