Weakly compact composition operators between algebras of bounded analytic functions

被引：15

作者：

Galindo, P ^{[1
]}

Lindström, M

Ryan, R

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Abo Akad Univ, Dept Math, FIN-20500 Turku, Finland

[3] Univ Coll Galway, Dept Math, Galway, Ireland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 01期

关键词：

weakly compact operator; composition operator; bounded analytic; functions on the open unit ball;

D O I：

10.1090/S0002-9939-99-05196-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a characterization (up to the approximation property) of weakly compact composition operators C-phi:H-infinity(B-F) --> H-infinity(B-E) in terms of their inducing analytic maps phi : B-E --> B-F.

引用

页码：149 / 155

页数：7

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