Bergman空间上Toeplitz算子的局部及Fredholm性质

卢玉峰;孙善利

数学学报 ›› 1997, Vol. 40 ›› Issue (5)

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PDF(381 KB)
数学学报 ›› 1997, Vol. 40 ›› Issue (5) DOI: 10.12386/A1997sxxb0087
论文

Bergman空间上Toeplitz算子的局部及Fredholm性质

    卢玉峰;孙善利
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Properties of Locality and Fredholm of Toeplitz Operators on the Bergman Space

    YuFeng Lu,ShanLi Sun

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摘要

本文讨论了Bergman空间上Toeplitz算子的局部谱的关系.利用局部化原理给出了Toeplitz算子拟换位子紧性的一个充分条件.给出了一类符号的Toeplitz算子是Fredholm算子的充分条件.

Abstract

In this paper we discuss the relationship of local spectra of Toeplitz operators on the Bergman space. A sufficient condition is found for the quasicommutator to be compact. Sufficient conditions are given for a class of Toeplitz operators to be Fredholm operators.

关键词

Toeplitz算子 / Fredholm算子 / 拟换位子 / 局部谱 / Hankel算子

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卢玉峰;孙善利. Bergman空间上Toeplitz算子的局部及Fredholm性质. 数学学报, 1997, 40(5) https://doi.org/10.12386/A1997sxxb0087

YuFeng Lu,ShanLi Sun

.
Properties of Locality and Fredholm of Toeplitz Operators on the Bergman Space. Acta Mathematica Sinica, Chinese Series, 1997, 40(5) https://doi.org/10.12386/A1997sxxb0087
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