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A Non-Autonomous Version of the Denjoy–Wolff Theorem

✍ Scribed by Casavecchia, Tiziano; Díaz-Madrigal, Santiago

Book ID
118004908
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
306 KB
Volume
7
Category
Article
ISSN
1661-8254

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