MATH 503 Functional Analysis and Applications Select Term:
Examples of Hilbert and Banach spaces, geometry of the Banach space. Linear functionals. Hahn Banach theorem, its versions and applications. Convexity, Krein Milman theorem. Applications of uniform boundedness principle, closed graph and open mapping theorems. Fixed point theorems (Banach, Brouwer, Schauder) and applications.
SU Credits : 3.000
ECTS Credit : 10.000
Prerequisite : -
Corequisite : -