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The Denjoy–Wolff Theorem for Condensing Holomorphic Mappings

✍ Scribed by Jarosław Kapeluszny; Tadeusz Kuczumow; Simeon Reich

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
133 KB
Volume
167
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 taking the value !.

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