A note on mean ergodic composition operators on spaces of holomorphic functions

被引：0
|
作者：
José Bonet
Paweł Domański
机构：
[1] Universidad Politécnica de Valencia,Inst. Univ. Matemática Pura y Aplicada (IUMPA), Edificio ID15 (8E), Cubo F, Cuarta Planta
[2] A. Mickiewicz University Poznań,Faculty of Mathematics and Computer Science
来源：
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | 2011年 / 105卷
关键词：
Composition operators; Mean ergodic operators; Power bounded operators; Spaces of holomorphic functions; 47B33; 46E10; 46A04;
D O I：
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中图分类号：
学科分类号：
摘要：
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the composition operator being mean ergodic. We also describe the form of the symbol when the composition operator is mean ergodic.
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页码：389 / 396
页数：7
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