论文标题
伯格曼空间上的Toeplitz操作员的交换代数：光谱定理方法
Commutative algebras of Toeplitz operators on the Bergman space revisited: Spectral theorem approach
论文作者
论文摘要
对于单位磁盘上加权分析伯格曼空间中Toeplitz运算符产生的交换代数的三种标准模型，我们将其表示为某些不受限制的自动关节操作员的有界函数的代数。我们讨论了这些表示的主要特性，尤其是描述了Toeplitz运算符在符号的光谱表示和属性中的光谱函数的属性之间的关系。
For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators. We discuss main properties of these representation and, especially, describe relations between properties of the spectral function of Toeplitz operators in the spectral representation and properties of the symbols.
