Functions and Analysis


Limit Theorems for K-Subadditive Lattice Group-Valued Capacities in the Filter Convergence Setting

Authors: Antonio Boccuto, Xenofon Dimitriou

We investigate some properties of lattice group-valued positive 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 in the non-additive case with respect to filter convergence, in which it is supposed that the involved filter is diagonal.

Comments: 4 Pages.

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Submission history

[v1] 2014-10-19 11:39:09

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