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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Budzynska, Monika¹  Kuczumow, Tadeusz¹  Reich, Simeon² 

[1] Inst Matemat UMCS, PL-20031 Lublin, Poland

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

关键词: Denjoy-Wolff theorem;    Fixed point;    Holomorphic mapping;    Horosphere;    Iterates of holomorphic mappings;    k(D)-nonexpansive mapping;    Kobayashi distance;   

DOI  :  10.1016/j.jmaa.2012.06.044

来源: Elsevier

【 摘 要 】

Using the Kobayashi distance, we establish a Denjoy-Wolff theorem for compact holomorphic self-mappings of a bounded and strictly convex domain in a complex reflexive Banach space. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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