Dynamics of Weighted Shifts on Directed Trees

被引：3
|
作者：
Grosse-Erdmann, Karl-G. [1 ]
Papathanasiou, Dimitris [2 ]
机构：
[1] Univ Mons, Dept Math, 20 Pl Parc, B-7000 Mons, Belgium
[2] Euler Int Math Inst, Pesochnaya Naberezhnaya 10, St Petersburg 197376, Russia
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2023年 / 72卷 / 01期
关键词：
Weighted shift operator; directed tree; hypercyclic operator; weakly mixing operator; mixing operator; HYPERCYCLIC OPERATORS; BANACH-SPACES;
D O I：
10.1512/iumj.2023.72.9315
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercyclic, weakly mixing and mixing.
引用
收藏
页码：263 / 299
页数：37
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