Characterizations of the product of asymmetric dual truncated Toeplitz operators

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.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025300
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Characterizations of the product of asymmetric dual truncated Toeplitz operators

Qi Wu, Zheng Zhu, Yong Chen
AIMS Mathematics
Holomorphic and Operator Theory
article

Characterizations of the product of asymmetric dual truncated Toeplitz operators

Qi Wu, Zheng Zhu, Yong Chen
article en

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.

AIMS MathematicsVol. 10(3)
Hangzhou Normal University (CN)
Openalex Percentile: Top 92%
Holomorphic and Operator Theory
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