Real Analysis II

3 credits · Graduate School

(Also listed as MATH 4101) Continuation of 6100. This course emphasizes functional analysis and its applications. Topics include metric spaces, Banach spaces, Hahn-Banach theorem, Baire's theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, L^p spaces, real and complex Measures, Hilbert spaces, operator theory, Fourier series, Fourier transforms. Prerequisite: 6100. No credit for students who have received credit for 4101. [3]