2017–18–A

Dr. Izhar Oppenheim

Time and Place:

יום א 14:00 - 12:00 בבנין 90 (מקיף ז’) [90] חדר 225
יום ד 18:00 - 16:00 בגולדברגר [28] חדר 204

Course topics

Banach spaces and Hilbert spaces. Basic properties of Hilbert spaces. Topological vector spaces. Banach-Steinhaus theorem; open mapping theorem and closed graph theorem. Hahn-Banach theorem. Duality. Measures on locally compact spaces; the dual of $C(X)$. Weak and weak-$*$ topologies; Banach-Alaoglu theorem. Convexity and the Krein-Milman theorem. The Stone-Weierstrass theorem. Compact operators on Hilbert space. Introduction to Banach algebras and Gelfand theory. Additional topics as time permits.

University course catalogue: 201.2.0351