Limit theorems for $k$-subadditive lattice group-valued capacities in the filter convergence setting

In: Tatra Mountains Mathematical Publications, vol. 65, no. 1

Antonio Boccuto - Xenofon Dimitriou

Details:

Year, pages: 2016, 1 - 21

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-

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About article:

We investigate some properties of lattice group-valued positive, monotone and $k$-subadditive set functions, and in particular, we give some comparisons between regularity and continuity from above. Moreover, we prove different kinds of limit theorems with respect to filter convergence. Furthermore, some open problems are posed.

How to cite:

ISO 690:

Boccuto, A., Dimitriou, X. 2016. Limit theorems for $k$-subadditive lattice group-valued capacities in the filter convergence setting. In Tatra Mountains Mathematical Publications, vol. 65, no.1, pp. 1-21. 1210-3195.

APA:

Boccuto, A., Dimitriou, X. (2016). Limit theorems for $k$-subadditive lattice group-valued capacities in the filter convergence setting. Tatra Mountains Mathematical Publications, 65(1), 1-21. 1210-3195.