奥尔利奇-康托洛维奇空间的 "零点二 "定律

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2024-01-03 DOI:10.1007/s00012-023-00839-z

Inomjon Ganiev, Farrukh Mukhamedov

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引用次数: 0

摘要

本文讨论的是\(L_0\)值度量和相关的奥利奇-康托罗维奇网格。所考虑的奥尔利茨-康托洛维奇网格具有卢森堡规范，被表示为与标量相关的经典奥尔利茨空间的可测量束。通过这种表示，我们可以研究正收缩，并在经典奥利奇空间上应用相应的零二定律，从而证明所考虑的奥利奇-康托洛维奇空间上 "零二 "定律的向量版本。

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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The “zero-two” law in Orlicz–Kantorovich spaces

The present paper deals with \(L_0\)-valued measures and the associated Orlicz–Kantorovich lattice. The considered Orlicz–Kantorovich lattice, endowed with the Luxemburg norm, is represented as a measurable bundle of classical Orlicz spaces associated with scalar measures. This kind of representation allows us to investigate positive contractions and apply the corresponding zero-two laws on the classical Orlicz spaces, to prove vector versions of “zero-two” laws on the considered Orlicz–Kantorovich space.

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.