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.

Joint undergraduate/graduate course - MAT457H1/MAT1000H

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