Essentially Commuting Dual Truncated Toeplitz Operators  

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作  者:Chongchao WANG Xianfeng ZHAO Dechao ZHENG 

机构地区:[1]College of Mathematics and Physics,Wenzhou University,Wenzhou 325035,Zhejiang,China [2]Corresponding author.College ofMathematics and Statistics,Chongqing University,Chongqing 401331,China [3]Center of Mathematics,Chongqing University,Chongqing 401331,China [4]Department of Mathematics,Vanderbilt University,Nashville,TN 37240,the United States

出  处:《Chinese Annals of Mathematics,Series B》2024年第4期597-636,共40页数学年刊(B辑英文版)

基  金:supported by the National Natural Science Foundation of China(Nos.11531003,12371125);the Fundamental Research Funds for the Central Universities(Nos.2020CDJQY-A039,2020CDJ-LHSS-003)。

摘  要: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.

关 键 词:Hardy space Dual truncated Toeplitz operator Essentially commuting 

分 类 号:O177[理学—数学]

 

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