Completely Non-Normal Toeplitz Operators

作     者：Yah Yue SHI Yu Feng LU 

作者机构：School of Mathematical Sciences Dalian University of Technology Liaoning 116024 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第4期

页      面：727-734页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos.10971020 10671028) 

主　　题：Toeplitz operator completely nononormal hyponormal cyclic. 

摘      要：In this paper, we show that the hyponormal Toeplitz operator Tφ with trigonometric polynomial symbol φ is either normal or completely non-normal. Moreover, if Tφ is non-normal, then Tφ has a dense set of cyclic vectors. Some general conditions are also considered.