Mathematical Sciences: Presidential Young Investigator

数学科学：总统青年研究员

• 批准号: 8858149
• 负责人: Hari Bercovici
• 金额: $ 14.65万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8858149&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Presidential; Young; Investigator

This Presidential Investigator Award will support a broad program of mathematical research in operator theory, which may be thought of as linear algebra in infinitely many dimensions. The original impetus for this subject came from quantum mechanics, and today there is an expanding area of applications to systems theory and control theory. Professor Bercovici's work on skew Toeplitz operators will enrich this important connection. Other research directions to be pursued include the study of quasitriangular operators, and the development of the dual algebra approach to the structure of invariant subspaces for operators.

这项总统调查奖将支持广泛的 在算子理论的数学研究计划，这可能是 被认为是无限多维的线性代数。 的 这门学科的最初动力来自量子力学， 如今， 理论和控制理论。 Bercovici教授关于歪斜的研究 Toeplitz算子将丰富这一重要联系。 其他 研究方向包括： 拟三角算子，以及对偶算子的发展 不变子空间结构的代数方法 运营商