ACM701 Measure Theory and Functional Analysis

[3–0, 3 cr.]

The topics covered in this course are from measure theory and functional analysis. They include:  Measure spaces, measurable functions, integration, convergence of integrals, -spaces, Hilbert spaces (e.g, Riesz representation theorem, orthonormal bases, etc.), Banach spaces (e.g, dual spaces, open mapping theorem, Hahn-Banach theorem, etc.), functions of bounded variation and absolutely continuous functions.