Course Catalog
| MATH 503 Functional Analysis and Applications | 3 Credits | ||||||||||||||||||
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| 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. | |||||||||||||||||||
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| Corequisite: __ | |||||||||||||||||||
| ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year) | |||||||||||||||||||
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