University at Buffalo 3 credits Mathematics
Banach spaces, summability, Banach limits, uniform boundedness, interior mapping theorem, graphs, Hahn-Banach theorem, Lp spaces, C[a,b], finite dimensional, weak and weak* topology. Alaoglu theorem, reflexivity and weak compactness theory. Hilbert spaces, spectral theorem for self-adjoint operators, linear topological vector spaces.
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