Current course offerings

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Course description

Topological spaces: compactness, continuity, separation axioms, Baire category theorem. Classical linear functional analysis: Banach and Hilbert spaces, linear functionals, L^p spaces (as completions), Riesz representation theorem, uniform boundedness principle, dual spaces, weak convergence, Hahn-Banach theorem, bounded operators, open mapping theorem, spectrum and resolvent.

Archived offerings