Essentially Commuting Truncated Toeplitz Operators

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-07-10 DOI:10.1007/s10114-024-2696-y

Xi Zhao, Tao Yu

引用次数: 0

Abstract

A model space is a subspace of the Hardy space which is invariant under the backward shift, and a truncated Toeplitz operator is the compression of a Toeplitz operator on some model space. In this paper we prove a necessary and sufficient condition for the commutator of two truncated Toeplitz operators on a model space to be compact.

查看原文本刊更多论文

本质归一的截断托普利兹算子

模型空间是哈代空间的一个子空间，它在后移下不变，而截断托普利兹算子是某个模型空间上托普利兹算子的压缩。在本文中，我们证明了模型空间上两个截断托普利兹算子的换元是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。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.