Completely Non-Normal Toeplitz Operators

被引：0
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作者：
Yan Yue SHIYu Feng LU School of Mathematical SciencesDalian University of TechnologyLiaoning PRChina [116024 ]
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来源：
数学研究与评论 | 2011年 / 31卷 / 04期
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中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
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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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