Mathematical Sciences: Operator Algebras and Operator Theory

数学科学：算子代数和算子理论

• 批准号: 9107137
• 负责人: David Larson
• 金额: $ 16.68万
• 依托单位: Texas A&M Research Foundation
• 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: 1991-08-01 至 1995-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9107137&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Operator; Algebras; Theory

Professors Larson and Smith will conduct research in several areas of operator algebras. Professor Larson will work on problems related to similarity theory for nests, quasitriangularity considerations within von Neumann algebras, reflexivity properties of operator algebras, and to mappings between algebras of operators. Professor Smith will focus on the theory of tensor products of operator algebras, complete boundedness for C*-algebras, cohomology theory, and the structure of derivations and automorphisms of non-selfadjoint algebras. Aspects of each of the investigator's work will contribute to a joint study of nuclearity in triangular operator algebras. This research project concerns families of Hilbert space operators called algebras. A Hilbert space operator can be thought of as an infinite matrix of complex numbers. Such objects are important in almost every branch of pure and applied mathematics. Putting together aggregates of these operators with common qualities to form an algebra is a major theme in mathematics.

拉森教授和史密斯教授将在几个国家进行研究。 算子代数的区域 拉森教授将致力于 与鸟巢相似理论有关的问题， 冯诺依曼代数中的拟三角性考虑， 算子代数的自反性，以及映射的自反性 代数之间的关系。 史密斯教授将重点介绍 算子代数的张量积完全理论 C ~*-代数的有界性，上同调理论和结构 非自伴代数的导子和自同构。 每个调查员工作的各个方面都将有助于 三角算子代数核性联合研究 这个研究项目涉及希尔伯特空间的家庭 运算符称为代数。 希尔伯特空间算子可以是 被认为是复数的无限矩阵。 等 对象在几乎每一个纯理论和应用的分支中都很重要 数学 将这些运算符的聚合与 形成代数的共同性质是一个主要的主题， 数学