Fubini's theorem for a vector-valued Daniell integral

被引：0

作者：

Grobler, Jacobus J. ^{[1
]}

机构：

[1] North West Univ, Res Focus Area Pure & Appl Analyt, Potchefstroom Campus, Potchefstroom, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 07期

关键词：

Fubini's theorem; product integral; Riesz space; Archimedean tensor product;

D O I：

10.2989/16073606.2024.2322684

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the product integral for two Riesz space-valued Daniell integrals and prove Fubini's theorem establishing the relation between product integrals and iterated integrals. The properties of the Fremlin tensor product of two Archimedean Riesz spaces enable one to do this in an elegant way.

引用

页码：1429 / 1435

页数：7