Reducing subspaces for a class of non-analytic Toeplitz operators on the bidisk

被引：12
|
作者：
Deng, Jia [1 ]
Liz, Yufeng [1 ]
Shi, Yanyue [2 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 01期
关键词：
Reducing subspace; Toeplitz operator; Bergman space; Polydisk; BERGMAN SPACE; MULTIPLICATION OPERATORS; HARDY SPACE;
D O I：
10.1016/j.jmaa.2016.08.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we completely characterize all the reducing subspaces for a class of non-analytic Toeplitz operators with symbol phi(z,w) = alpha z(k) + beta(omega) over bar (l), where alpha, beta is an element of C and alpha beta not equal 0. We also prove that the von Neumann algebra V*(phi) = {T-phi, T-phi*}' is abelian. (C) 2016 Elsevier Inc. All rights reserved.
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页码：784 / 796
页数：13
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