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

• 作者: Antonio Boccuto Xenofon Dimitriou
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: LATTICE Group (Free) FILTER (s)-Bounded MEASURE σ-Additive MEASURE Diagonal FILTER Block-Respecting FILTER Limit THEOREM Nikodym Boundedness THEOREM
• 年，卷（期）: 2014,（5）
• 页码范围: 213-221
• 页数: 9页
• 分类号: O1

摘要

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.