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18.102功能分析导论18.102 Introduction to Functional Analysis |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-102-introduction-to-fun... |
| 主讲教师: | Richard Melrose |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 2009-01-01 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem. |
| 关 键 词: | 线性空间; 度量空间; 赋范空间; 巴拿赫空间; 勒贝格可积性; 勒贝格可积函数 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2024-02-03：chenjy |
| 阅读次数: | 56 |