Free uniformly complete vector lattices

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-07-05 DOI:10.1007/s11117-024-01066-z

Eduard Emelyanov, Svetlana Gorokhova

引用次数: 0

Abstract

We define a free uniformly complete vector lattice \(\text {FUCVL}(A)\) over a non-empty set A and give its representation as a sublattice of the space \(H(\mathbb {R}^A)\) of continuous in the product topology positively homogeneous functions on \(\mathbb {R}^A\).

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自由均匀完整向量网格

我们定义了一个在非空集 A 上的自由均匀完全向量网格（\text {FUCVL}(A)\) ，并给出了它的表示形式，即在积拓扑学上连续正均函数空间（H(\mathbb {R}^A)\) 的子网格。

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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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.