In the setting of normal topological real vector spaces with dimension greater than one and dual separating points, we prove that the barycentre is the unique mapping on the set of masses with convex compact support which is associative, internal and weak-continuous.
A characterization of the barycentre of masses with convex compact support
GIROTTO, BRUNO;HOLZER, SILVANO
2007-01-01
Abstract
In the setting of normal topological real vector spaces with dimension greater than one and dual separating points, we prove that the barycentre is the unique mapping on the set of masses with convex compact support which is associative, internal and weak-continuous.File in questo prodotto:
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