Fredholm composition operators on algebras of analytic functions on Banach spaces

被引：10
|
作者：
Galindo, P. [1 ]
Gamelin, T. W. [2 ]
Lindstrom, M. [3 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain
[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[3] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 05期
关键词：
Composition operator; Fredholm operator; Bounded analytic function; MULTIPLICATION OPERATORS; HOLOMORPHIC-FUNCTIONS;
D O I：
10.1016/j.jfa.2009.10.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that Fredholm composition operators acting on the uniform algebra H(infinity)(B(E)) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball. (c) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1504 / 1512
页数：9
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