Completely Non-Normal Toeplitz Operators

被引：0
|
作者：
Yan Yue SHI
机构：
来源：
Journal of Mathematical Research with Applications | 2011年 / 04期
基金：
中国国家自然科学基金;
关键词：
Toeplitz operator; completely non-normal; hyponormal; cyclic;
D O I：
暂无
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
In this paper,we show that the hyponormal Toeplitz operator T with trigonometric polynomial symbol  is either normal or completely non-normal.Moreover,if T is non-normal,then Tˉ has a dense set of cyclic vectors.Some general conditions are also considered.
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页码：727 / 734
页数：8
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