Topics in Function Theoretic Operator Theory

函数论算子理论专题

• 批准号: 8922557
• 负责人: John Conway
• 金额: $ 2.81万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1990-08-15
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8922557&HistoricalAwards=false
• 关键词: Topics; Function; Theoretic; Operator; Theory

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.

康威教授将研究次正规算子理论和几种变量算子理论中的几个主题。 其中一些问题与 J.E. Thomson 最近的突破有关，该突破表明在有趣的情况下存在有界点评估。 另一个问题涉及找到次正规 n 元组运算符的函数演算。 本研究涉及希尔伯特空间算子理论。 这些运算符本质上是复数的无限矩阵。这些物体在应用科学以及纯数学的各个领域都有应用。 此类研究试图对这些运算符的某些重要类别进行分类。