论文标题
光谱定理方法是由Toeplitz操作员在单位球上产生的交换C* - 代数
Spectral theorem approach to commutative C* -algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases
论文作者
论文摘要
我们考虑在$ \ mathbb {c}^{\ mathbf {n}} $中的单位球上的加权伯格曼空间中的toeplitz运算符的交换c* - 代数。对于椭圆类型的代数，我们找到了一个新的表示形式，即作为操作员的代数，这些代数是伯格曼空间中通勤无界的自我接触运算符的某些集合的功能。
We consider commutative C* -algebras of Toeplitz operators in the weighted Bergman space on the unit ball in $\mathbb{C}^{\mathbf{n}}$. For the algebras of elliptic type we find a new representation, namely as the algebra of operators which are functions of certain collections of commuting unbounded self-adjoint operators in the Bergman space.
