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.

引用

页码：504 / 512

页数：9

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