Course Catalog
| MATH 575 Introduction to Functional Analysis | 3 Credits | ||||||||||||
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| 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. | |||||||||||||
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| Prerequisite: MATH 301 - Undergraduate - Min Grade D | |||||||||||||
| Corequisite: __ | |||||||||||||
| ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year) | |||||||||||||
| General Requirements: | |||||||||||||