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Course Catalog

MATH 575 Introduction to Functional Analysis 3 Credits
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.
Last Offered Terms Course Name SU Credit
Spring 2011-2012 Introduction to Functional Analysis 3
Fall 2009-2010 Introduction to Functional Analysis 3
Fall 2007-2008 Introduction to Functional Analysis 3
Prerequisite: MATH 301 - Undergraduate - Min Grade D
Corequisite: __
ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year)
General Requirements: