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: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=568318
• 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.

拟议的研究涉及操作者理论和线性代数的几个方面。一个方面涉及多种类型的操作员代数的异构体。人们可能会认为这些是某种不会改变代数的“旋转”。另一个方面涉及理论操作员方程，这些方程对于模拟物理现象（如波浪）的偏微分方程的解决方案很重要。另一个方面涉及将矩阵分解为特殊类型矩阵的产品。