Topics in Operator Theory

算子理论主题

• 批准号: 3674-2013
• 负责人: Sourour, AhmedRamzi
• 金额: $ 0.8万
• 依托单位: University of Victoria
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635257
• 关键词: Topics; Operator; Theory

The proposed research concerns several aspects of Operator Theory and Linear Algebra. One aspect deals with various types of isometries of operator algebras. One may imagine these as some kind of "rotations" that does not change the algebra. Another aspect deals with theoretical operator equations that are important for the solutions of partial differential equations that model physical phenomena such as waves. Another aspect deals with decomposing matrices into products of special types of matrices.

所提出的研究涉及算子理论和线性代数的几个方面。一方面涉及算子代数的各种类型的等距。人们可以把这些想象成某种不改变代数的“旋转”。另一个方面涉及的理论运营商方程是重要的偏微分方程模型的物理现象，如波的解决方案。另一方面涉及将矩阵分解为特殊类型矩阵的乘积。