Mathematical Sciences: Operator Algebras and Reproducing Kernel Hilbert Spaces

数学科学：算子代数和再现核希尔伯特空间

• 批准号: 9105571
• 负责人: Vern Paulsen
• 金额: $ 8.28万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9105571&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Operator; Algebras; Reproducing

Professors Paulsen and Blecher will study questions arising in the theory of operator spaces and operator algebras, their duals and their tensor products. They will also study reproducing kernel Hilbert spaces and Hilbert modules. 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 families of such objects.

Paulsen 和 Blecher 教授将研究算子空间和算子代数、它们的对偶和张量积理论中出现的问题。 他们还将研究复制内核希尔伯特空间和希尔伯特模块。 希尔伯特空间运算符本质上是复数的无限矩阵。 这些运算符在应用科学以及纯数学的各个领域都有应用。 此类研究试图对此类物体的某些重要家族进行分类。