Autori
Maccheroni, Fabio
Ruckle, William H.

Titolo
BV as a dual space
Periodico
International Center for Economics Research, Torino. ICER - Working papers series
Anno: 2001 - Fascicolo: 29 - Pagina iniziale: 1 - Pagina finale: 8

Let C be a field of subsets of a set I. It is well known that the space FA of all the finitely additive games of bounded variation on C is the norm dual of the space of all simple functions on C. In this paper we prove that the space BV of all the games of bounded variation on C is the norm dual of the space of all simple games on C. This result is equivalent to the compactness of the unit ball in BV with respect to the vague topology.



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