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Title: De medidas positivas a medidas vectoriales
Author: Domènech i Gironell, Gerard
Director: Carro Rossell, María Jesús
Keywords: Funcions vectorials
Anàlisi matemàtica
Funcions de variables reals
Teoria de la mesura
Vector valued functions
Mathematical analysis
Functions of real variables
Measure theory
Issue Date: 26-Jun-2016
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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: María Jesús Carro Rossell
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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