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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166666We 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.General MathematicsDefining the Mean of a Real-Valued Function on an Arbitrary Metric Spacetext