Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

Published Online: Aug 04, 2016

Page range: 1 - 21

Received: Oct 20, 2014

DOI: https://doi.org/10.1515/tmmp-2016-0001

Keywords

lattice group, (diagonal) filter, filter (D)-convergence, filter (O)-convergence, k-subadditive capacity, continuous capacity, regular capacity, (s)-bounded capacity, Fremlin’s lemma, Maeda-Ogasawara-Vulikh theorem, limit theorem, Brooks-Jewett theorem, Vitali- -Hahn-Saks theorem, Nikod´ym theorem, Dieudonn´e theorem

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