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Research Article | Open Access

Characterizations of the product of asymmetric dual truncated Toeplitz operators

Zhenhui Zhu, Qi Wu( ), Yong Chen
Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
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Abstract

The asymmetric dual truncated Toeplitz operator (ADTTO) is a compression multiplication operator acting on the orthogonal complement of two different model spaces. In this paper, we present an operator equation characterization of an ADTTO using the compressed shift operator. As an application, the product of two ADTTOs with certain symbols being another ADTTO is obtained.

Keywords

asymmetric dual truncated Toeplitz operatorHardy spacemodel spaceproduct problem
CLC number: Primary 47B35, Secondary 32A37

References

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AIMS Mathematics
Volume 10 Issue 3,
March 2025
Pages 6560-6573
DOI: 10.3934/math.2025300

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Cite this article:
Zhu Z, Wu Q, Chen Y. Characterizations of the product of asymmetric dual truncated Toeplitz operators. AIMS Mathematics, 2025, 10(3): 6560-6573. https://doi.org/10.3934/math.2025300

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Received: 06 December 2024
Revised: 08 March 2025
Accepted: 19 March 2025
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)