MATH 5270 - Functional Analysis I

Credits: 3
Topics include the geometry of Hilbert spaces, linear functions and operators on Hilbert spaces, spectral theory of compact normal operators, Banach space theory, the open mapping theorem, Hahn-Banach theorem, Banach- Steinhaus theorem, duality and linear operators on Banach spaces, and different topologies on Banach spaces and their duals.

Prerequisite: MATH 5200.