Prerequisite(s):
MAA 4226 or C.I.
Textbook(s):
Conway, A Course in Functional Analysis, Springer, 2nd Edition
B. MacCluer, Elementary Functional Analysis Graduate Test in Math, Springer, 2009
Description:
Normed vector spaces, linear operators, Baire Category theorem, Banach fixed point theorem, Hahn-Banach theorem and applications, open mapping and closed graph theorem with applications, Hilbert space, Gateaux and Frechet derivatives.