Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space
General Mathematics
2008-08-11 v2
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.
Cite
@article{arxiv.0808.0122,
title = {Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space},
author = {Kerry Michael Soileau},
journal= {arXiv preprint arXiv:0808.0122},
year = {2008}
}