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

被引：27

作者：

Bonet, Jose ^{[1
]}

Domanski, Pawel ^{[2
]}

机构：

[1] Univ Politecn Valencia, IUMPA, E-46071 Valencia, Spain

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2011年 / 105卷 / 02期

关键词：

Composition operators; Mean ergodic operators; Power bounded operators; Spaces of holomorphic functions;

D O I：

10.1007/s13398-011-0009-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：389 / 396

页数：8

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