Fock-Sobolev 空间正交补集上的对偶 Toeplitz 积之和

IF 1.2 4区数学 Q1 MATHEMATICS

Acta Mathematica Scientia Pub Date : 2024-02-14 DOI:10.1007/s10473-024-0302-0

Yong Chen, Young Joo Lee

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引用次数: 0

摘要

我们考虑所有非负实阶的 Fock-Sobolev 空间正交补集上的对偶 Toeplitz 算子。首先，对于包含所有有界函数的某类符号，我们研究了对偶托普利兹乘积的有限和的算子是紧凑算子还是零算子的问题。接下来，对于有界符号，我们构建了一个符号映射，并展示了一个与所有有界符号的对偶托普利兹算子生成的 C* 代数相关的简短精确序列。

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Sums of dual Toeplitz products on the orthogonal complements of Fock-Sobolev spaces

We consider dual Toeplitz operators on the orthogonal complements of the Fock-Sobolev spaces of all nonnegative real orders. First, for symbols in a certain class containing all bounded functions, we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero. Next, for bounded symbols, we construct a symbol map and exhibit a short exact sequence associated with the C^*-algebra generated by all dual Toeplitz operators with bounded symbols.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.