## UCSD Catalog Entry for Math 241Taken from the Mathematics section of the UCSD Catalog.241A-B. Functional Analysis (4-4) Metric spaces and contraction mapping theorem;
closed graph theorem; uniform boundedness principle; Hahn-Banach
theorem; representation of continuous linear functionals; conjugate
space, weak topologies; extreme points; Krein-Milman theorem; fixed-point
theorems; Riesz convexity theorem; Banach algebras. |