Functions and Analysis

    

Filter Exhaustiveness and Filter Limit Theorems for K-Triangular Lattice Group-Valued Set Functions

Authors: Antonio Boccuto, Xenofon Dimitriou

We give some limit theorems for sequences of lattice group-valued k-triangular set functions, in the setting of filter convergence, and some results about their equivalence. We use the concept of filter exhaustiveness to get uniform (s)-boundedness, uniform continuity and uniform regularity of a suitable subsequence of the given sequence, whose indexes belong to the involved filter.

Comments: 13 Pages.

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Submission history

[v1] 2020-04-10 03:49:53

Unique-IP document downloads: 198 times

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