Hours 36L Lebesgue 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 MAT357H1 Exclusion MAT457Y1 Breadth Requirements The Physical and Mathematical Universes (5)
