De medidas positivas a medidas vectoriales

Abstract

We present a theoretical study of signed measures, complex measures and vector measures. The study is focused on the Radon-Nikodym Theorem and the Riesz representation Theorem (its various versions). Complex Radon measures over locally compact Hausdorff spaces are extensively treated. Regarding vector measures, we aim to provide a vision deep enough on Bochner integration to prove that vector extensions of the latter theorems are not generally true and to discuss when they are.