Essentially Commuting Dual Truncated Toeplitz Operators

Citation:

Chongchao WANG,Xianfeng ZHAO,Dechao ZHENG.Essentially Commuting Dual Truncated Toeplitz Operators[J].Chinese Annals of Mathematics B,2024,45(4):597~636
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Authors:

Chongchao WANG; Xianfeng ZHAO;Dechao ZHENG
Abstract: n 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.

Keywords:

Hardy space, Dual truncated Toeplitz operator, Essentially commuting

Classification:

47B32, 47B35
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