Spectrum, Asymptotic Invertibility and Szego Type Theorems of Dirichlet Toeplitz Operators

被引：5

作者：

Lin, Hongzhao ^{[1
]}

Zhang, Ziliang ^{[2
]}

Zheng, Dechao ^{[2
,3
]}

机构：

[1] Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou 350002, Fujian, Peoples R China

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[3] Chongqing Univ, Ctr Math, Chongqing 401331, Peoples R China

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; Dirichlet space; Essential spectrum; Spectrum; Asymptotic invertibility; Determinant; HANKEL-OPERATORS;

D O I：

10.1007/s00020-018-2464-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the spectrum and essential spectrum of Toeplitz operators on the Dirichlet space. Also a criterion of the asymptotic invertibility of Dirichlet Toeplitz operators and the Szego type theorems of Dirichlet Toeplitz determinants are established.

引用

页数：24

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