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

Antonio Boccuto; Xenofon Dimitriou

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

机译：关于格收敛的格群值测度的Nikodym型定理

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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.

机译：针对格群值测度的滤波器收敛，我们提出了一些收敛性和有界性定理。我们基于滑动驼峰参数给出直接证明。此外，我们提出了一些未解决的问题。

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《Advances in Pure Mathematics》 |2014年第5期|共9页
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Antonio Boccuto; Xenofon Dimitriou;
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中图分类数学;
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机译：关于k三角形格群值集合函数的Schur型定理
2. Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (?)-group-valued measures [J] . Boccuto A., Dimitriou X., Papanastassiou N. Central European Journal of Mathematics . 2011,第6期

机译：关于（？）群值测度的滤波器收敛的极限和Dieudonné型定理的某些版本
3. Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (?)-group-valued measures : Open Mathematics [J] . Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou Open Mathematics . 2011,第6期

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5. Statistical convergence analogues of some matrix summability theorems. [D] . Zeager, Jeffrey Allen. 1998

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6. The Relations among Fuzzy t-Filters on Residuated Lattices [O] . Huarong Zhang, Qingguo Li -1

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7. Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence [O] . Antonio BOCCUTO, Kamil DEMİRCİ, Sevda YILDIZ 2020

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

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