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

被引：0
作者：
Hongzhao Lin
Ziliang Zhang
Dechao Zheng
机构：
[1] Fujian Agriculture and Forestry University,College of Computer and Information Sciences
[2] Vanderbilt University,Department of Mathematics
[3] Chongqing University,Center of Mathematics
来源：
Integral Equations and Operator Theory | 2018年 / 90卷
关键词：
Toeplitz operator; Dirichlet space; Essential spectrum; Spectrum; Asymptotic invertibility; Determinant; Primary 47B35; Secondary 47B38;
D O I：
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学科分类号：
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 Szegö type theorems of Dirichlet Toeplitz determinants are established.
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