Essentially Commuting Dual Truncated Toeplitz Operators

Chongchao WANG ¹Xianfeng ZHAO ²Dechao ZHENG³

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作者信息

1. College of Mathematics and Physics,Wenzhou University,Wenzhou 325035,Zhejiang,China
2. College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China
3. Center of Mathematics,Chongqing University,Chongqing 401331,China;Department of Mathematics,Vanderbilt University,Nashville,TN 37240,the United States
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Abstract

In this paper,the authors completely characterize when two dual truncated Toeplitz operators ar e essentially commuting and when the semicommutator of two dual truncated Toeplitz operators is compact.Their main idea is to study dual truncated Toeplitz operators via Hankel operators,Toeplitz operators and function algebras.

Key words

Hardy space/Dual truncated Toeplitz operator/Essentially commuting

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基金项目

National Natural Science Foundation of China(11531003)

National Natural Science Foundation of China(12371125)

Fundamental Research Funds for the Central Universities(2020CDJQY-A039)

Fundamental Research Funds for the Central Universities(2020CDJ-LHSS-003)

出版年

2024

数学年刊B辑(英文版)

国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD

影响因子：0.129

ISSN：0252-9599

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