Mathematical Sciences: Topics in Operator Theory

数学科学：算子理论主题

• 批准号: 9001842
• 负责人: Warren Wogen
• 金额: $ 5.13万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-05-15 至 1992-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001842&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topics; Operator; Theory

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.

沃根教授将研究几个问题， 希尔伯特空间算子理论 这些问题涉及 这些算子的自反性的各种概念。 此外 所有与之交换的算子的代数结构 一个给定的运营商将被调查，最后教授沃根 我将研究某些类型的作品的结构 运营商 希尔伯特空间算子本质上是无穷矩阵， 复数 这些运营商在各个领域都有应用 在应用科学和纯数学中的应用。 这种类型的 研究是试图将某些重要类别的 这样的物体。