Spring 2016 MATH 202B 001 LEC

Introduction to Topology and Analysis
001 LECMWF 9-10A 241 CORYCHRIST, F M54470
Units/CreditFinal Exam GroupEnrollment
44: MONDAY, MAY 9, 2016 7-10PLimit:36 Enrolled:18 Waitlist:0 Avail Seats:18 [on 02/29/16]
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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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