Boccuto, A., Candeloro, D. and Sambucini, A.R. (2014) Vitali-Type Theorems for Filter Convergence Related to Vector Lattice-Valued Modulars and Applications to Stochastic Processes. Journal of Mathematical Analysis and Applications, arXiv:1401.7835.

has been cited by the following article:

• TITLE: Nikodým-Type Theorems for Lattice Group-Valued Measures with Respect to Filter Convergence

  AUTHORS: Antonio Boccuto, Xenofon Dimitriou

  KEYWORDS: Lattice Group, (Free) Filter, (s)-Bounded Measure, σ-Additive Measure, Diagonal Filter, Block-Respecting Filter, Limit Theorem, Nikodým Boundedness Theorem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.5, May 16, 2014

  ABSTRACT: We present some convergence and boundedness theorems with respect to filter convergence for lattice group-valued measures. We give a direct proof, based on the sliding hump argument. Furthermore we pose some open problems.