Spring 2022 MATH 202B 001 LEC

Introduction to Topology and Analysis
Schedule: 
SectionDays/TimesLocationInstructorClass
001 LECMoWeFr 01:00PM - 01:59PMCory 241Francis Michael Christ25035
UnitsEnrollment StatusSession
4Open2022 Spring, January 18 - May 06
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 

Course Webpage