Spring 2017 MATH 202B 001 LEC
| Section | Days/Times | Location | Instructor | Class |
|---|---|---|---|---|
| 001 LEC | MoWeFr 11:00AM - 11:59AM | Cory 241 | Alan Hammond | 18332 |
| Units | Enrollment Status |
|---|---|
| 4 | Open |
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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Grading: Letter grade.
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