Distributionally chaotic translation semigroups

被引:21
作者
Barrachina, Xavier [1 ]
Peris, Alfred [2 ]
机构
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, IUMPA, E-46022 Valencia, Spain
关键词
distributional chaos; C-0-semigroups; translation C-0-semigroup; backward shift operator;
D O I
10.1080/10236198.2011.625945
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study distributional chaos for the translation C-0-semigroup on weighted L-p-spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C-0-semigroup and the corresponding one for backward shifts on weighted sequence spaces.
引用
收藏
页码:751 / 761
页数:11
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