Hyponormal Toeplitz operators on the polydisk

被引：0
作者：
Yu Feng Lu
Yan Yue Shi
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2012年 / 28卷
关键词：
Hyponormality; Toeplitz operator; Hankel operator; polydisk; block matrix representation; 47B35; 47B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By bounded vector-valued functions and block matrix representations of Hankel operators, we completely characterize the hyponormality of Toeplitz operators on the Hardy space of the polydisk.
引用
收藏
页码：333 / 348
页数：15
相关论文
共 18 条
  • [1] Cowen C.(1988)Hyponormality of Toeplitz operators Proc. Amer. Math. Soc. 103 809-812
  • [2] Farenick R.(1996)Hyponormality and spectra of Toeplitz operators Trans. Amer. Math. Soc. 348 4153-4174
  • [3] Lee W. Y.(2008)Hyponormal Toeplitz operators and zeros of polynomials Proc. Amer. Math. Soc. 136 2425-2428
  • [4] Nakazi T.(1993)Hyponormal Toeplitz operators and extremal problems of Hardy spaces Trans. Amer. Math. Soc. 338 753-767
  • [5] Nakazi T.(1995)Hyponormal Toeplitz operators with polynomial symbols Integr. Equ. Oper. Theory 21 376-381
  • [6] Takahashi K.(1994)A generalization of Cowen’s characterization of hyponormal Toeplitz operators J. Funct. Anal. 124 135-148
  • [7] Zhu K.(2006)Hyponormality of block Toeplitz operators Pacific J. Math. 223 95-111
  • [8] Gu C. C.(1996)A mean value inequality with applications to Bergman space operators Pacific J. Math. 173 295-305
  • [9] Gu C. C.(2005)Hyponormal Toeplitz operators on the Bergman space J. Korean Math. Soc. 42 387-403
  • [10] Hendricks J.(2009)Commutativity and hyponormality of Toeplitz operators on the weighted Bergman space J. Korean Math. Soc. 46 621-642
12