Topics in Function Theoretic Operator Theory

康威教授将研究次正规算子理论和多变量算子理论中的几个主题。其中一些问题与J.E.汤姆森最近的突破有关，该突破表明，有界点评估存在于有趣的案例中。另一个问题涉及找到非正常n元组算子的泛函演算。本研究涉及到希尔伯特空间算子的理论。这些运算符本质上是复数的无限矩阵。这样的对象在应用科学的各个领域都有应用，在纯数学中也是如此。这类研究是对这些算子的某些重要类别进行分类的一种尝试。

Professor Conway will investigate several topics in the theory of subnormal operators and in several variable operator theory. Some of these questions are related to the recent breakthrough of J.E. Thomson showing that bounded point evaluations exist in interesting cases. Another question involves finding a functional calculus for subnormal n-tuples of operators. This research involves the theory of Hilbert space operators. These operators are essentially infinite matrices of complex numbers. Such objects 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 these operators.