Semicommutators of Truncated Toeplitz Operators

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-05-13 DOI:10.1007/s11785-024-01540-2

Xi Zhao, Tao Yu

引用次数: 0

Abstract

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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截断托普利兹算子的半互调器

本文讨论了某些模型空间上的截断托普利兹算子的半交子。我们研究了两个截断托普利兹算子的乘积或半交子分别为零的情况。我们还得到了两个截断托普利兹算子的半交子紧凑的必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.