We prove some Schur and limit theorems for lattice group-valued -triangular set functions with respect to filter convergence, by means of sliding hump-type techniques. As consequences, we deduce some Vitali-Hahn-Saks and Nikodým-type theorems.
Schur-type Theorems for k-Triangular Lattice Group-Valued Set Functions with Respect to Filter Convergence
Antonio Boccuto
;
2017
Abstract
We prove some Schur and limit theorems for lattice group-valued -triangular set functions with respect to filter convergence, by means of sliding hump-type techniques. As consequences, we deduce some Vitali-Hahn-Saks and Nikodým-type theorems.File in questo prodotto:
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