Approximation of Finitely Additive Functions with Values in Topological Groups

Paola Cavaliere; Paolo de Lucia; Hans Weber

doi:10.4171/zaa/1495

JournalszaaVol. 32, No. 4pp. 477–495

Approximation of Finitely Additive Functions with Values in Topological Groups

Paola Cavaliere
Università di Salerno, Fisciano (Sa), Italy
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Paolo de Lucia
Università degli Studi di Napoli Federico II, Italy
- MathSciNet
- zbMATH Open
Hans Weber
Università di Udine, Italy
- MathSciNet
- zbMATH Open

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Abstract

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. 477–495

DOI 10.4171/ZAA/1495