On Some Algebras of Truncated Hankel and Asymmetric Truncated Hankel Operators

被引：0
作者：
Ameur Yagoub
Muhammad Ahsan Khan
机构：
[1] Université de Amar Telidji,Laboratoire de mathématiques pures et appliquées
[2] University of Kotli Azad Jammu & Kashmir,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2023年 / 17卷
关键词：
Model spaces; Truncated Toeplitz and Hankel operators; Asymmetric truncated Toeplitz and Hankel operators; Product of asymmetric truncated Hankel operators; Primary 47B32; Secondary 47B35; 30H10;
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摘要：
In the last decade, a large amount of research has been concentrated on the operators living on the model space. Asymmetric truncated Toeplitz operators and asymmetric truncated Hankel operators are the natural generalization of truncated Toeplitz operators and truncated Hankel operators respectively. In this paper, we obtained the basic results concerning the product of these operators and in terms of product their connection with each other. In addition, when an inner function has a certain symmetric property, some algebraic properties of truncated Hankel operators are also discussed.
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