Characterizations of Asymmetric Truncated Toeplitz and Hankel Operators

被引：0
|
作者：
Caixing Gu
Bartosz Łanucha
Małgorzata Michalska
机构：
[1] California Polytechnic State University,Department of Mathematics
[2] Maria Curie-Skłodowska University,Institute of Mathematics
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
Model space; Truncated Toeplitz operator; Truncated Hankel operator; Asymmetric truncated Toeplitz operator; Asymmetric truncated Hankel operator; Primary 47B32; Secondary 47B35; 30H10;
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中图分类号：
学科分类号：
摘要：
It was recently proved that in some special cases asymmetric truncated Toeplitz operators can be characterized in terms of compressed shifts and rank-two operators of special form. In this paper we show that such characterizations hold in all cases. We also show a connection between asymmetric truncated Toeplitz operators and asymmetric truncated Hankel operators. We use this connection to generalize results known for truncated Hankel operators to asymmetric truncated Hankel operators.
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页码：673 / 684
页数：11
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