Advanced Functional Analysis
Functional analysis is a fundamental course in mathematics. In this course, we will study basic contents on normed spaces and inner product spaces, as well as the theory of linear functionals and linear operators on these spaces, including Hahn Banach theorem, open mapping theory, closed image theorem, and the uniform boundedness principle. Furthermore, we will study the spectral theory of compact linear operators and self-adjoint operators.
讲师
日期
2025年09月17日 至 12月31日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 09:50 - 12:15 | Qiuzhen | - | - | - |
参考资料
1. Erwin Kreyszig, Introductory Functional Analysis with Applications, John Wiley & Sons,
1989.
2. Peter Lax, Functional Analysis, John Wiley & Sons, 2002.
3. 张恭庆，林源渠，泛函分析讲义（上册），北京大学出版社, 1987.
4. Walter Rudin，泛函分析，第二版，机械工业出版社, 2004.
5. Masamichi Takesaki, Theory of Operator Algebras I, Springer, New York, 1979.
1989.
2. Peter Lax, Functional Analysis, John Wiley & Sons, 2002.
3. 张恭庆，林源渠，泛函分析讲义（上册），北京大学出版社, 1987.
4. Walter Rudin，泛函分析，第二版，机械工业出版社, 2004.
5. Masamichi Takesaki, Theory of Operator Algebras I, Springer, New York, 1979.
听众
Advanced Undergraduate
, Graduate
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Dr. Ngai received his B.Sc. from University of Hong Kong, and his M.A. and Ph.D. from University of Pittsburgh. After receiving his Ph.D., he has held research and teaching positions at The Chinese University of Hong Kong, Cornell University, Georgia Institute of Technology, and Georgia Southern University. He joined Beijing Institute of Mathematical Sciences and Applications as a professor in 2024. His main research areas are fractal geometry and the theory of fractal measures. He is also interested in the theories of wavelets, self-affine tiles, fractal differential equations, and spectral graph theory.