Schur lemma and limit theorems in lattice groups with respect to filters

Mathematica Slovaca

N. Papanastassiou¹  X. Dimitriou¹  A. Boccuto¹ 

关键词: (â„“)-group;    order sequence;    (D)-sequence;    Fremlin lemma;    filter;    filter convergence;    Brooks-Jewett theorem;    Nikodým convergence theorem;    Schur lemma;    Vitali-Hahn-Saks theorem;   

DOI  :  10.2478/s12175-012-0070-5

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Some Schur, Nikodým, Brooks-Jewett and Vitali-Hahn-Saks-type theorems for (ℓ)-group-valued measures are proved in the setting of filter convergence. Finally we pose an open problem.

【 授权许可】

Unknown