Introduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
Objective
Basic acquaintance with the abstract theory of measure and integration
Content
Introduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces
Lecture notes
no lecture notes
Literature
1. P.R. Halmos, "Measure Theory", Springer 2. Extra material: Lecture Notes by Emmanuel Kowalski and Josef Teichmann from spring semester 2012, Link 3. Extra material: P. Cannarsa & T. D'Aprile, "Lecture Notes on Measure Theory and Functional Analysis", Link
Prerequisites / Notice
The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.
Performance assessment
Performance assessment information (valid until the course unit is held again)