PMATH 453 – LEC 0.50 – Course ID: 003349 – Functional Analysis

Banach and Hilbert spaces, bounded linear maps, Hahn-Banach theorem, open mapping theorem, closed graph theorem, topologies, nets, Hausdorff spaces, Tietze extension theorem, dual spaces, weak topologies, Tychonoff’s theorem, Banach-Alaoglu theorem, reflexive spaces. Prereq: PMATH 354/450; Not open to General Mathematics students




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