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Nikodým-Type Theorems for Lattice Group-Valued Measures with Respect to Filter Convergence
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作者 Antonio Boccuto Xenofon Dimitriou 《Advances in Pure Mathematics》 2014年第5期213-221,共9页
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 prob... 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. 展开更多
关键词 LATTICE Group (Free) FILTER (s)-Bounded MEASURE σ-Additive MEASURE Diagonal FILTER block-respecting FILTER Limit THEOREM Nikodym Boundedness THEOREM
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