Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (?)-group-valued measures

Boccuto A.; Dimitriou X.; Papanastassiou N.

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Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (?)-group-valued measures

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

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摘要

Some limit and Dieudonné-type theorems in the setting of (?)-groups with respect to filter convergence are proved, extending earlier results.

机译：证明了在（α）-群的设定中关于滤波器收敛的一些极限和Dieudonné型定理，扩展了早期的结果。

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《Central European Journal of Mathematics》 |2011年第6期|共14页
作者
Boccuto A.; Dimitriou X.; Papanastassiou N.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
(?)-group; Dieudonné theorem; Filter; Ideal; Ideal (filter) convergence; Limit theorem; Nikodym theorem; Regular measure; Schur theorem; Vitali-Hahn-Saks theorem;

机译：（？）-群;Dieudonné定理;过滤;理想;理想（过滤）收敛;极限定理;Nikodym定理;正则测度;Schur定理;Vitali-Hahn-Saks定理;
入库时间 2022-08-18 09:21:06

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1. 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
2. Nikodym-Type Theorems for Lattice Group-Valued Measures with Respect to Filter Convergence [J] . Antonio Boccuto, Xenofon Dimitriou Advances in Pure Mathematics . 2014,第5期

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3. Schur-type theorems for k-triangular lattice group-valued set functions with respect to filter convergence [J] . Antonio Boccuto, Xenofon Dimitriou Applied mathematical sciences . 2017,第57a60期

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Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (?)-group-valued measures

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