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Courses - Spring 2019
MATH
Mathematics Department Site
MATH631
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH630.
Abstract measure and integration theory, metric spaces, Baire category theorem and uniform boundedness principle, Radon-Nikodym theorem, Riesz Representation theorem, Lebesgue decomposition, Banach and Hilbert Spaces, Banach-Steinhaus theorem, topological spaces, Arzela-Ascoli and Stone-Weierstrass theorems, compact sets and Tychonoff's theorem.
Offered Spring only.