Hypercyclic and chaotic semigroups of linear operators

被引：174

作者：

Desch, W ^{[1
]}

Schappacher, W ^{[1
]}

Webb, GF ^{[1
]}

机构：

[1] VANDERBILT UNIV,DEPT MATH,NASHVILLE,TN 37240

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1997年 / 17卷

关键词：

D O I：

10.1017/S0143385797084976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate hypercyclic and chaotic behavior of linear strongly continuous semigroups. We give necessary and sufficient conditions on the semigroup to be hypercyclic, and sufficient conditions on the spectrum of an operator to generate a hypercyclic semigroup. A variety of examples is provided.

引用

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页码：793 / 819

页数：27

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