Given a Hausdorff topological vector space with dimension greater than one, the barycentre of simple masses can be seen as the unique associative, internal and continuous mapping defined on these masses. Moreover, if the associated dual space separates points, by extending the continuity property, one can characterize also the barycentre of masses with compact convex support.
A Characterization of the Barycentre
GIROTTO, BRUNO;HOLZER, SILVANO
2004-01-01
Abstract
Given a Hausdorff topological vector space with dimension greater than one, the barycentre of simple masses can be seen as the unique associative, internal and continuous mapping defined on these masses. Moreover, if the associated dual space separates points, by extending the continuity property, one can characterize also the barycentre of masses with compact convex support.File in questo prodotto:
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