关于Riesz空间中滤波器的阶收敛性

S. Kadhim, Shaimaa Abdul-Hussein Kadhim
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引用次数: 0

摘要

本文的主要目的是通过证明与Riesz空间的一些性质有关的一个重要定理,研究Riesz空间中滤波器的有序收敛性思想。因此我们建立了所有固有滤波器集合F(M)的交集和并集都收敛于Riesz空间中的点它们是同一个收敛点这些子集中存在滤波器并证明了交集(并)两个滤波器到交集(并)Riesz空间中两个不同点的序收敛等价于由两个收敛点组成的集合我们可以用这些滤波器来写。
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On Order - Convergence of Filters in a Riesz Spaces
The main purpose of this paper, is study the ideas of orderConvergence of filters in a Riesz spaces and that is through prove an important theorems related to the some properties Riesz spaces. So we established that the intersection and union all subsets of the collection of all proper filters F(M) were converge to point in Riesz space it's the same convergence point the filter there exist in these subsets and proved that order-convergence for intersection (union) two filters to intersection (union) two different points in Riesz space is equivalent to the set consist of two convergence points we could write it by using these filters .
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