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.

引用

页码：277 / 292

页数：16

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