Some Nikodym boundedness and limit theorems for topological group-valued measures are proved in the context of filter convergence with respect to suitable classes of filters. We investigate both the countably additive and the finitely additive case, and, among the tools, we use the sliding hump and the Stone Isomorphism Technique.

Limit theorems for topological group-valued measures with respect to filter convergence

BOCCUTO, Antonio;
2013

Abstract

Some Nikodym boundedness and limit theorems for topological group-valued measures are proved in the context of filter convergence with respect to suitable classes of filters. We investigate both the countably additive and the finitely additive case, and, among the tools, we use the sliding hump and the Stone Isomorphism Technique.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1106065
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