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.File in questo prodotto:
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