Functions and Analysis

    

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

Authors: A. Boccuto, X. Dimitriou

We give some limit theorems for sequences of lattice group-valuedk-triangular set functions,in the setting of filter convergence, and some results about their equivalence. We use the toolof filter exhaustiveness to get uniform (s)-boundedness, uniform continuity and uniform regular-ity of a suitable subsequence of the given sequence, whose indexes belong to the involved filter. Furthermore we pose some open problems.

Comments: 11 Pages.

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Submission history

[v1] 2021-01-08 11:13:39

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