A Characterization of the Barycentre

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.



Titolo: A Characterization of the Barycentre
Autori: 
GIROTTO, BRUNO
HOLZER, SILVANO
Data di pubblicazione: 2004
Rivista: 
MATHEMATIKA  
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.
Handle: http://hdl.handle.net/11368/1695276
Appare nelle tipologie:1.1 Articolo in Rivista

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