A direct proof of F. Riesz representation Theorem

2016/06/16 by del Rio, Rafael, Franco, Asaf, Lara, Jose · 1 citation
#26A42 #28A25 #28C05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1606.05026

Abstract

A direct proof of the Riesz representation theorem is provided. This theorem characterizes the linear functionals acting on the vector space C(K) of continuous functions defined on a compact subset K of the real numbers ℝ. This proof avoids complicated arguments commonly used in generalizations of Riesz original theorem.

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