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.

Conway教授将在非正态操作员理论和几个可变运算符理论中调查几个主题。 其中一些问题与J.E. Thomson最近的突破有关，表明在有趣的情况下存在有界点评估。 另一个问题涉及为操作员的下正态n个tuplass找到功能性演算。 这项研究涉及希尔伯特太空运营商的理论。 这些操作员本质上是复数的无限矩阵。此类对象在应用科学的每个领域以及纯数学中都有应用。 这种类型的研究试图对这些运营商的某些重要类别进行分类。