ON THE EXISTENCE OF J-CLASS OPERATORS ON BANACH SPACES

被引：0
|
作者：
Nasseri, Amir Bahman [1 ]
机构：
[1] Tech Univ Dortmund, Fak Math, D-44221 Dortmund, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 10期
关键词：
J-class operators; hypercyclicity; HYPERCYCLIC OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we answer in the negative the question raised by C. Costakis and A. Manoussos whether there exists a J-class operator on every non-separable Banach space. In particular we show that there exists a non-separable Banach space constructed by S. Argyros, A. Arvanitakis and A. To has such that the J-set of every operator on this space has empty interior for each non-zero vector. On the other hand, on non-separable spaces which are reflexive there always exists a J-class operator.
引用
收藏
页码：3549 / 3555
页数：7
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