Mathematical Sciences: Topics in Operator Theory

沃根教授将研究希尔伯特空间算子理论中的几个问题。这些问题涉及到这类运算符的各种自反性概念。此外，还将研究与给定算子交换的所有算子的代数的结构，最后，Wogen教授将研究某些类型的复合算子的结构。希尔伯特空间算子本质上是复数的无限矩阵。这些运算符在应用科学的各个领域都有应用，在纯数学中也是如此。这种类型的研究是对此类物体的某些重要类别进行分类的尝试。

Professor Wogen will investigate several questions in the theory of Hilbert space operators. These questions involve various notions of reflexivity for such operators. In addition the structure of the algebra of all operators which commute with a given operator will be investigated and finally Professor Wogen will examine the structure of certain types of composition operators. Hilbert space operators are essentially infinite matrices of complex numbers. These operators have applications in every area of applied science as well as in pure mathematics. This type of research is an attempt to classify certain important classes of such objects.