台湾国立交通大学 吴培元: 泛函分析讲义
本帖最后由 果珍冰 于 2015-11-22 13:09 编辑課程內容
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課程介紹與導論
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第一章 Measure theory
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Sec.1.2. Measure
Sec.1.3. Outer Measure
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Sec.1.4. Constructing outer measure
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Sec.1.5-1.6 Lebesgue measure
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Sec.1.7 Metric space
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Sec.1.8-1.9 Construction of metric outer measure
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Sec.1.9 Construction of metric outer measure
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sec.1.10 Signed measure
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第二章 Integration
Sec. 2.2 Operations on measurable functions
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Sec 2.3. Egoroff’s Thm.
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Sec 2.3 Egoroff’s Thm.
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Sec 2.4 Convergence in measure
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Sec 2.5 Integrals of simple functions
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Sec. 2.6 Integrable functions
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Sec. 2.7 Properties of integrals
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Sec.2.9 DCT
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Sec. 2.10 Applications of DCT
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Sec 2.11 (Proper) Riemann integral
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Sec. 2.13. Lebesgue decomposition
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Sec. 2.13. Lebesgue decomposition
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Sec. 2.14 Fundamental Thm of Calculus on
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第三章 Metric spaces
Sec. 3.1 Topological spaces & metric spaces
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Sec.3.7 Stone-Weierstiass Thm.
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第四章 Banach spaces
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Sec. 4.4 Linear Transformations
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sec. 4.5 Principle of uniform bddness (Banach- Steinhaus Thm)
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Sec. 4.11 Topology
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Sec. 4.13 Adjoint operators
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第五章 Compact operators
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Sec. 5.2 Fredholm-Riesz-Schauder Theory
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Sec.5.3 Spectral theory
台湾同胞的也有啊
希望有用！！！！！！！！！！！！！1111
找了很久了
网上只缺51讲，不知道这里能不能找到
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