MATH 401 Introduction to Functional Analysis Select Term:
Uniform convergence. Stone Weierstrass approximation theorem. Arzela -Ascoli theorem. Baire's theorem. Vector spaces and linear operators. Normed spaces . Completion .Duality and Hahn-Banach extension theorem. Bounded linear operators. Banach-Steinhaus theorem. Open mapping and closed graph theorems.Hilbert spaces. Introduction to Banach algebras.
SU Credits : 3.000
ECTS Credit : 6.000
Prerequisite :
Undergraduate level MATH 301 Minimum Grade of D
Corequisite : -