Mean ergodic composition operators on spaces of holomorphic functions on a Banach space

被引：4

作者：

Jornet, David ^{[1
]}

Santacreu, Daniel ^{[1
]}

Sevilla-Peris, Pablo ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Camino Vera S-N, Valencia 46022, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 500卷 / 02期

关键词：

Holomorphic function on Banach space; Composition operator; Power bounded; Mean ergodic; Bounded type; WEIGHTED COMPOSITION OPERATORS; COMPACT HOMOMORPHISMS; ALGEBRAS;

D O I：

10.1016/j.jmaa.2021.125139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space: that of all holomorphic functions, that of holomorphic functions of bounded type and that of bounded holomorphic functions. Several examples in the different settings are given. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：16

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