| Vitali—Hahn—Sakes-Nikodym收敛定理的一个推广 |
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| 引用本文： | 沈丹桂. Vitali—Hahn—Sakes-Nikodym收敛定理的一个推广[J]. 嘉兴学院学报, 2011, 23(6): 12-15. DOI: 10.3969/i.issn.1008-6781.2011.06.002 |
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| 作者姓名： | 沈丹桂 |
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| 作者单位： | 嘉兴学院数理与信息工程学院,浙江嘉兴,314001 |
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| 摘 要： | 证明了有效代数上的一个子级数收敛定理,把vitali—Hahn—Sakes-Nikodym收敛定理从口一代数推广到有效代数上,同时得到另一个测度收敛定理．
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| 关 键 词： | Vitali—Hahn—Sakes--Nikodym收敛定理 准-σ-完备有效代数 局部凸空间 子级数收敛 测度收敛定理 |
An Extension of the Vitali -Hahn -Sakes -Nikodym Convergence Theorem |
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| SHEN Dan-gui. An Extension of the Vitali -Hahn -Sakes -Nikodym Convergence Theorem[J]. Journal of Jiaxing College, 2011, 23(6): 12-15. DOI: 10.3969/i.issn.1008-6781.2011.06.002 |
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| Authors: | SHEN Dan-gui |
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| Affiliation: | SHEN Dan-gui (School of Mathematics,Physics and Information Engineering,Jiaxing University,Jiaxing,Zhejiang 314001) |
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| Abstract: | In this paper, the author proves a subseries convergence theorem on effect algebras, extends the Vitali--Hahn--Sakes--Nikodym convergence theorem from the a algebra to the effect algebra, and meanwhile obtains a convergence theorem for regular measuring. |
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| Keywords: | Vitali-- Hahn-- Sakes-- Nikodym convergence theorem quasi-σ-complete effect algebra locally convex topological spaces subseries convergence convergence theorem for measuring |
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