We discuss the problem of the pointwise approximation of finitely additive functions, which are defined on a Boolean algebra and take values in a Hausdorff topological commutative group, via strongly continuous and exhaustive finitely additive functions. Related properties of topological groups are also investigated.
Cite this article
Paola Cavaliere, Paolo de Lucia, Hans Weber, Approximation of Finitely Additive Functions with Values in Topological Groups. Z. Anal. Anwend. 32 (2013), no. 4, pp. 477–495DOI 10.4171/ZAA/1495