Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces

被引：0
作者：
Robert F. Allen
Flavia Colonna
Rubén A. Martínez-Avendaño
Matthew A. Pons
机构：
[1] University of Wisconsin- La Crosse,Department of Mathematics and Statistics
[2] George Mason University,Department of Mathematical Sciences
[3] Instituto Tecnológico Autónomo de México,Departamento Académico de Matemáticas
[4] North Central College,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Composition operators; Hypercyclicity; weighted Banach spaces; Primary 47B33; 47A16; Secondary 47B38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition operators act on the “little” spaces. We characterize the bounded composition operators on the little spaces, as well as provide various necessary conditions for hypercyclicity.
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