Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces

被引：5
|
作者：
Allen, Robert F. [1 ]
Colonna, Flavia [2 ]
Martinez-Avendano, Ruben A. [3 ]
Pons, Matthew A. [4 ]
机构：
[1] Univ Wisconsin, Dept Math & Stat, La Crosse, WI 54601 USA
[2] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA
[3] Inst Tecnol Autonomo Mexico, Dept Acad Matemat, Mexico City, DF, Mexico
[4] North Cent Coll, Dept Math, Naperville, IL 60540 USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期
关键词：
Composition operators; Hypercyclicity; weighted Banach spaces; MULTIPLICATION OPERATORS; ANALOG;
D O I：
10.1007/s00009-019-1394-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页数：20
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