MAT457H1: Advanced Real Analysis I

Hours: 
36L

Lebesque measure and integration; convergence theorems, Fubini's theorem, Lebesgue differentiation theorem, abstract measures, Caratheodory theorem, Radon-Nikodym theorem. Hilbert spaces, orthonormal bases, Riesz representation theorem, compact operators, L^p spaces, Hölder and Minkowski inequalities.

Prerequisite: 
Exclusion: 
Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)