Article citationsMore>>

Aizpuru, A., Nicasio-Llach, M. and Rambla-Barreno, F. (2010) A Remark about the Orlicz-Pettis Theorem and the Statistical Convergence. Acta Mathematica Sinica, English Series, 26, 305-310.
http://dx.doi.org/10.1007/s10114-010-7472-5

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.