Reducing subspace of analytic Toeplitz operators on the Bergman space

被引：54
|
作者：
Hu, JY [1 ]
Sun, SH
Xu, XM
Yu, DH
机构：
[1] Jiaxing Univ, Inst Math, Jiaxing 314001, Zhejiang, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[4] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2004年 / 49卷 / 03期
关键词：
super-isometric dilation; reducing subspace; Bergman shift; Toeplitz operator;
D O I：
10.1007/s00020-002-1207-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that the analytic Toeplitz operator with finite Blaschke product symbol on the Bergman space has at least a reducing subspace on which the restriction of the associated Toeplitz operator is unitary equivalent to the Bergman shift.
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页码：387 / 395
页数：9
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