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

被引：9
|
作者：
Budzynska, Monika [1 ]
Kuczumow, Tadeusz [1 ]
Reich, Simeon [2 ]
机构：
[1] Inst Matemat UMCS, PL-20031 Lublin, Poland
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 02期
基金：
以色列科学基金会;
关键词：
Denjoy-Wolff theorem; Fixed point; Holomorphic mapping; Horosphere; Iterates of holomorphic mappings; k(D)-nonexpansive mapping; Kobayashi distance; UNIT BALL;
D O I：
10.1016/j.jmaa.2012.06.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：504 / 512
页数：9
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