A Generalization of Cowen′s Characterization of Hyponormal Toeplitz Operators
A Generalization of Cowen′s Characterization of Hyponormal Toeplitz Operators
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DOI：
10.1006/jfan.1994.1102
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发表时间：
1994-08
影响因子：
1.7
通讯作者：
C. Gu
中科院分区：
文献类型：
--
作者：
C. Gu
本文推广了C. C. Cowen [Proc.Amer.Math.Soc.103（1988），809-812]关于Toeplitz算子对一类（广义）Toeplitz算子的亚正规性.为了用交换提升方法来实现这一点，我们研究了算子方程HA = H B TC，其中HA，H B是（广义）Hankel算子，TC是解析Toeplitz算子.得到了Hankel算子和Toeplitz算子值域包含的相关结果。
Abstract In this paper we extend an elegant result of C. C. Cowen [ Proc. Amer. Math. Soc. 103 (1988), 809-812] on the hyponormality of Toeplitz operators to a class of (generalized) Toeplitz operators. In order to do this by a commutant lifting approach we study the operator equation H A = H B T C , where H A , H B are (generalized) Hankel operators and T C is an analytic Toeplitz operator. Related results about the range inclusion of Hankel and Toeplitz operators are also obtained.