We investigate some of the main properties of lattice groupvalued k-triangular set functions and we prove some Brooks–Jewett, Nikodym, Vitali–Hahn–Saks and Schur-type theorems and their equivalence. A Drewnowski-type theorem on existence of continuous restrictions of (s)-bounded set functions is given.
Equivalence Between Limit Theorems for Lattice Group-Valued k-Triangular Set Functions
Boccuto, Antonio
;
2018
Abstract
We investigate some of the main properties of lattice groupvalued k-triangular set functions and we prove some Brooks–Jewett, Nikodym, Vitali–Hahn–Saks and Schur-type theorems and their equivalence. A Drewnowski-type theorem on existence of continuous restrictions of (s)-bounded set functions is given.File in questo prodotto:
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