(offered in semester 2 in odd years only)<br/>Metric spaces revisited. Banach spaces: linear operators & functionals; uniform boundedness principle; Hahn-Banach, closed graph & open mapping theorems. Dual spaces, weak & strong convergence; adjoints. Hilbert spaces: orthogonality; projections; Riesz representation theorem. Complete continuity. Fredholm Alternative. -- Course Website
Instructor: Dr Min-Chun Hong ([email protected])
