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arXiv · 0808.0122

Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space

Kerry Michael Soileau
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Abstract

We show how a metric space induces a linear functional (a "mean") on real-valued functions with domains in that metric space. This immediately induces a "relative" measure on a collection of subsets of the underlying set.

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Kerry Michael Soileau. 2008-08-10. Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space. https://arxiv.org/abs/0808.0122

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