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.File in questo prodotto:
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