加权Bergman空间上Toeplitz算子的本质谱

于涛;

数学学报 ›› 2006, Vol. 49 ›› Issue (2) : 357-362.

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数学学报 ›› 2006, Vol. 49 ›› Issue (2) : 357-362. DOI: 10.12386/A2006sxxb0045
论文

加权Bergman空间上Toeplitz算子的本质谱

    于涛;
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Essential Spectrum of Toeplitz Operator on the Weighted Bergman Space

    Tao YU
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摘要

本文探讨加权Bergman空间Ap(φ)上Toeplitz算子,刻画了L∞(D)的使得符号在其中的Toeplitz算子的半换位子是紧算子的最大的自伴子代数Q,并计算了符号在Q中的Toeplitz算子的本质谱和Fredholm指标.

Abstract

In this paper, we will characterize the largest self-adjoint subalgebra Q of L∞(D) such that the semi-commutators of any two Toeplitz operators on the weighted Bergman space Ap(φ) with symbols in Q is compact, and calculate the essential spectrum and the Predholm index of Toeplitz operator on Ap(φ) with the symbol in Q.

关键词

本质谱 / 加权Bergman空间 / Toeplitz算子

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于涛;. 加权Bergman空间上Toeplitz算子的本质谱. 数学学报, 2006, 49(2): 357-362 https://doi.org/10.12386/A2006sxxb0045
Tao YU. Essential Spectrum of Toeplitz Operator on the Weighted Bergman Space. Acta Mathematica Sinica, Chinese Series, 2006, 49(2): 357-362 https://doi.org/10.12386/A2006sxxb0045
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