Spring 2021 MATH 202B 001 LEC

Introduction to Topology and Analysis
Schedule: 
SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMInternet/OnlineFrancis Michael Christ22862
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07
Additional Information: 

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.

Office 

Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework 

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