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Nov 21, 2024
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MATH 852 - Functional Analysis ICredits: 3
Topological vector spaces; locally convex spaces (Hahn-Banach Theorem, weak topology, dual pairs, Krein-Milman Theorem, theory of distributions); Banach spaces (Uniform Boundedness Principle, Open Mapping Theorem and applications, Alaoglu’s Theorem, analytic vector-valued functions, Krein-Smulian Theorem); C(X) as a Banach space (Stone-Weierstrass Theorem, Riesz Theorem); Lp spaces.
Requisites:
Prerequisite: MATH 821.
Typically Offered
Fall, in alternate years
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