Abstract
For R being a separating algebra of subsets of a set X, E a complete Hausdorff non-Archimedean locally convex space and m: R → E a bounded finitely additive measure, it is shown that: a If m is σ-additive and strongly additive, then m has a unique σ-additive extension m σ on the σ-algebra R σ generated by R. b If m is strongly additive and τ-additive, then m has a unique τ-additive extension m τ on the α-algebra R bo of all τ R -Borel sets, where τ R is the topology having R as a basis. Also, some other results concerning such measures are given.
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