Functions and Analysis

1410 Submissions

[1] viXra:1410.0109 [pdf] submitted on 2014-10-19 11:39:09

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

Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 4 Pages.

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.
Category: Functions and Analysis