Dynamical properties of weighted composition operators on the space of smooth functions

被引：15
作者：
Przestacki, A. [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 01期
关键词：
Weighted composition operator; Linear dynamics; Smooth functions;
D O I：
10.1016/j.jmaa.2016.08.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to investigate several dynamical properties of weighted composition operators acting on the space of smooth functions. First we characterize hypercyclic, weakly mixing and mixing weighted composition operators. As a by-product we obtain a characterization of hypercyclic, weakly mixing and milting composition operators. Then we investigate the special one-dimensional case. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：1097 / 1113
页数：17
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