Hypercyclic, mixing, and chaotic C0-semigroups induced by semiflows

被引：34

作者：

Kalmes, T. ^{[1
]}

机构：

[1] Univ Trier, D-54286 Trier, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷

关键词：

D O I：

10.1017/S0143385707000144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize when C(0)-semigroups induced by semiflows are hypercyclic, topologically mixing, or chaotic both on spaces of integrable functions and on spaces of continuous functions. Furthermore, we give characterizations of transitivity for weighted composition operators on these spaces.

引用

页码：1599 / 1631

页数：33

共 19 条

[11]

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[12] Supercyclic and chaotic translation semigroups (vol 131, pg 3535, 2003) [J].