Credits: 3 (3-0-0)
Description
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.