MA40001: Functional Analysis
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| MA40001 | |
|---|---|
| Course name | Functional Analysis |
| Offered by | Mathematics |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Previous Year Grade Distribution | |
| {{{grades}}} | |
| Semester | Spring |
Syllabus
Syllabus mentioned in ERP
Prerequisite: Real AnalysisMetric spaces, complete metric spaces, Banach contraction mapping theorem. Banach spaces, bounded linear functionals and bounded linear operators, dual spaces, Hahn-Banach theorem, uniform boundedness principle, open mapping and closed graph theorems, weak convergence, Hilbert spaces, orthonormal sets, Riesz representation theorem, bounded linear operators on Hilbert spaces.