Dynamics of composition operators on function spaces defined by local and global properties

被引：9

作者：

Albanese, Angela A. ^{[1
]}

Jorda, Enrique ^{[2
]}

Mele, Claudio ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis E De Giorgi, CP 193, I-73100 Lecce, Italy

[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada IUMPA, EPS Alcoy Plaza Ferrandiz & Carbonell S-N, Alcoy 03801, Alicante, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 514卷 / 01期

关键词：

Spaces of continuous functions; Composition operator; Power bounded operator; Mean ergodic operator; Hypercyclic operator; Supercyclic operator; WEIGHTED COMPOSITION OPERATORS;

D O I：

10.1016/j.jmaa.2022.126303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider composition operators on locally convex spaces of functions defined on R. We prove results concerning supercyclicity, power boundedness, mean ergodicity and convergence of the iterates in the strong operator topology. (C) 2022 The Author(s). Published by Elsevier Inc.

引用

页数：15