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The Denjoy–Wolff theorem in

✍ Scribed by Monika Budzyńska

Book ID
113811351
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
244 KB
Volume
75
Category
Article
ISSN
0362-546X

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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 takin