Lecture

The Riesz-Kakutani Theorem

Description

This lecture covers the construction of measures, focusing on positive functionals and their inner and outer measures. It discusses the properties of o-additivity, measurability of sets, and the concept of a measurable collection. The lecture also presents propositions related to measurable disjoint sets and concludes with the Riesz-Kakutani Theorem, which establishes the existence of a regular and complete measure on a Borel o-algebra. The theorem connects positive functionals to measures, showcasing the significance of the Lebesgue measure in this context.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.