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A Denjoy–Wolff theorem for compact holomorphic mappings in reflexive Banach spaces

✍ Scribed by Monika Budzyńska; Tadeusz Kuczumow; Simeon Reich

Book ID
119299379
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
251 KB
Volume
396
Category
Article
ISSN
0022-247X

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✍ Jaroslaw Kapeluszny; Tadeusz Kuczumow; Simeon Reich 📂 Article 📅 1999 🏛 Elsevier Science 🌐 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 !.