A direct proof of F. Riesz representation Theorem

Rafael del Rio; Asaf Franco; Jose Lara

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arXiv · 1606.05026

A direct proof of F. Riesz representation Theorem

Rafael del Rio·Asaf Franco·Jose Lara

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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 $\mathbb{R}$. This proof avoids complicated arguments commonly used in generalizations of Riesz original theorem.

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BibTeX RIS

Rafael del Rio, Asaf Franco, Jose Lara. 2016-06-16. A direct proof of F. Riesz representation Theorem. https://arxiv.org/abs/1606.05026

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