Spring 2021 MATH 202B 001 LEC
| Section | Days/Times | Location | Instructor | Class |
|---|---|---|---|---|
| 001 LEC | MoWeFr 01:00PM - 01:59PM | Internet/Online | Francis Michael Christ | 22862 |
| Units | Enrollment Status | Session |
|---|---|---|
| 4 | Open | 2021 Spring, January 19 - May 07 |
Prerequisites 202A and 110
Description Measure and integration. Product measures and Fubini-type theorems. Signed measures; Hahn and Jordan decompositions. Radon-Nikodym theorem. Integration on the line and in Rn. Differentiation of the integral. Hausdorff measures. Fourier transform. Introduction to linear topological spaces, Banach spaces and Hilbert spaces. Banach-Steinhaus theorem; closed graph theorem. Hahn-Banach theorem. Duality; the dual of LP. Measures on locally compact spaces; the dual of C(X). Weak and weak-* topologies; Banach-Alaoglu theorem. Convexity and the Krein-Milman theorem. Additional topics chosen may include compact operators, spectral theory of compact operators, and applications to integral equations.
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Required Text
Recommended Reading
Grading Letter grade.
Homework
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