论文标题
基本积极性
Essential positivity
论文作者
论文摘要
我们将希尔伯特空间上的基本积极运算符定义为一类自我接合操作员，其基本光谱包含在非负实数中并描述其基本特性。使用Toeplitz运算符和Berezin变换，我们进一步说明了耐力空间和伯格曼空间中基本积极性的概念。
We define essentially positive operators on Hilbert space as a class of self-adjoint operators whose essential spectra is contained in the nonnegative real numbers and describe their basic properties. Using Toeplitz operators and the Berezin transform, we further illustrate the notion of essential positivity in the Hardy space and the Bergman space.
