Products of Toeplitz operators and Hankel operators

被引：1
|
作者：
Lu, Yufeng [1 ]
Kong, Linghui [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
STUDIA MATHEMATICA | 2014年 / 220卷 / 03期
关键词：
finite rank; compact perturbation; products; Toeplitz operator; Hankel operator;
D O I：
10.4064/sm220-3-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
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页码：277 / 292
页数：16
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