Mathematical Sciences: C*-Algebras of Singular Integral Operators and Toeplitz Operators Associated with N-Densional Flows

数学科学：与 N 稠密流相关的奇异积分算子和 Toeplitz 算子的 C* 代数

• 批准号: 9101496
• 负责人: Jingbo Xia
• 金额: $ 4.3万
• 依托单位: SUNY at Buffalo
• 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: 1991-07-01 至 1993-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101496&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Algebras; Singular; Integral

Professor Xia will study the C*-algebras of random singular integral operators and Toeplitz operators associated with n- dimensional flows. He will analyze the ideal structure in these algebras and address questions such as their solvability. He will compute the K-groups of certain important sub-C*-algebras and their ideals with the goal of classifying these kinds of algebras. Professor Xia's project deals with C*-algebras. These algebras are families of Hilbert space operators each of which can be thought of as an infinite matrix of complex numbers. The algebras which Professor Xia will consider consist of operators which arise in more applied fields such as the study of partial differential equations.

夏教授将研究随机奇异的C*-代数 积分算子和Toeplitz算子， 维度流 他将分析理想的结构在这些 代数和地址的问题，如他们的可解性。 他将 计算某些重要的子C ~*-代数的K-群及其 理想的目标是对这类代数进行分类。 夏教授的项目涉及C*-代数。 这些 代数是Hilbert空间算子族，每个算子都可以 可以看作是一个无限的复数矩阵。 的 夏教授将考虑的代数由算子组成 这在更多的应用领域中出现，例如局部的研究。 微分方程