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 tool 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.
Filter exhaustiveness and filter limit theorems for k-triangular lattice group-valued set functions
Boccuto, A.;
2019
Abstract
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 tool 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.File in questo prodotto:
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