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MATH 575 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
ECTS Credit : 10
Prerequisite : Undergraduate level MATH 301 Minimum Grade of D
Corequisite : -