有序拓扑向量空间上的统计τ-有界算子

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES Journal of Science and Arts Pub Date : 2022-12-30 DOI:10.46939/j.sci.arts-22.4-a02

Abdullah Aydin, Muhammed Çinar

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引用次数: 0

摘要

本文介绍了拓扑向量空间上的统计有界集。给出了从拓扑向量空间到有序拓扑向量空间的有界算子的三个概念。此外，我们还给出了这些算子与阶有界算子之间的一些关系。此外，我们还给出了这些算子关于一致收敛拓扑的一些代数性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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StatisticalLY τ-Bounded Operators on Ordered Topological Vector Spaces

In this paper, we introduce statistical bounded sets on topological vector space. Also, we give the three notions of bounded operators from topological vector spaces to ordered topological vector spaces. Moreover, we show some relations between these operators and order bounded operators. Also, we give some algebraic properties of these operators with respect to the uniform convergence topology.

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来源期刊

Journal of Science and Arts MULTIDISCIPLINARY SCIENCES-

自引率

25.00%

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