Abstract. We characterize those positive functions on a Boolean algebra $A$ which can be represented as the variation of a quasi-measure on $A$ with values in an Abelian normed group $G$. We also show that if there exists such a representation, then there is one in which $G$ is an $F^*$-lattice.
AMS Subject Classification
(1991): 28B10, 28B05, 28A12, 28A60
Received March 8, 2007, and in revised form January 31, 2008. (Registered under 6006/2009.)
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