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Boccuto, A., Dimitriou, X. and Papanastassiou, N. (2012) Uniform boundedness principle, Banach-Steinhaus and approximation theorems for filter convergence in Riesz spaces. Proceedings of International Conference on Topology and its Applications ICTA 2011, Cambridge International Science Publishing, 45-58.

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.