Toeplitz Operators on LP-Spaces of a Tree

被引：0

作者：

Huang, Mingmei ^{[1
]}

Zhang, Xiaoyan ^{[1
]}

Zhao, Xianfeng ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 06期

关键词：

Toeplitz operator; spectrum; positivity; compactness; finite rank operator; tree; MULTIPLICATION OPERATORS; LIPSCHITZ SPACE; SHIFTS;

D O I：

10.1007/s00009-023-02526-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a rooted, countable infinite tree without terminal vertices. In the present paper, we investigate the spectra, self-adjointness, positivity, compactness, and Schatten class membership of Toeplitz operators on the spaces of p-summable functions on T. Moreover, we obtain a necessary and sufficient condition for Toeplitz operators to have finite rank on such function spaces.

引用

页数：18

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