Semicommutators of Truncated Toeplitz Operators

被引：0
|
作者：
Zhao, Xi [1 ]
Yu, Tao [2 ]
机构：
[1] Hebei GEO Univ, Sch Math & Sci, Shijiazhuang, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 04期
关键词：
Truncated Toeplitz operator; Model space; Maximal ideal space; Semicommutator; Compact operator;
D O I：
10.1007/s11785-024-01540-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper semicommutators of truncated Toeplitz operators on some model space are discussed. We investigate when the product or the semicommutator of two truncated Toeplitz operators is zero, respectively. We also obtain a necessary and sufficient condition for the semicommutator of two truncated Toeplitz operators to be compact.
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页数：25
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