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.

Approximation of Finitely Additive Functions with Values in Topological Groups / Paola, Cavaliere; DE LUCIA, Paolo; Hans, Weber. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - STAMPA. - 32:(2013), pp. 477-495. [10.4171/ZAA/1495]

Approximation of Finitely Additive Functions with Values in Topological Groups

DE LUCIA, PAOLO;
2013

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.
2013
Approximation of Finitely Additive Functions with Values in Topological Groups / Paola, Cavaliere; DE LUCIA, Paolo; Hans, Weber. - In: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. - ISSN 0232-2064. - STAMPA. - 32:(2013), pp. 477-495. [10.4171/ZAA/1495]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/567468
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