MTL874
| MTL874 | |
|---|---|
| Analysis | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
MTL874 : Analysis
[edit]Review of Banach and Hilbert spaces. The Hahn-Banach, Open mapping and Banach-Steinhaus theorems. The Riesz representation theorem, the spaces Lp(0,1) and L2(0,1) Spectral theory and Sturm-Liouville systems, fixed point theory. The theorems by Banach, Browder and Schauder and applications. Picard's theorem. Integral equation of Fredholm, Volterra and Hammerstein. Nonlinear operators: The complementarity problem and its uses. Banach algebras and C* algebras. Best approximation in normed linear spaces.