Extensions of p-adic vector measures

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:aIf m is σ-additive and strongly additive, then m has a unique σ-additive extension mσ on the σ-algebra Rσ generated by R.bIf m is strongly additive and τ-additive, then m has a unique τ-additive extension mτ on the α-algebra Rbo of all τR-Borel sets, where τR is the topology having R as a basis.Also, some other results concerning such measures are given.