论文标题

Fubini的Daniell积分定理

Fubini's Theorem for Daniell Integrals

论文作者

Kersting, Götz, Rompf, Gerhard

论文摘要

我们表明,在丹尼尔整合理论中,迭代的积分可能总是形成,并且可以始终互换整合的顺序。通过这种方式,我们讨论了产品积分,并表明相关的Fubini定理完全具有一般性。结果基于弗里姆林和fubini-Stone定理的Riesz Tensor产品的密度定理。

We show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality. The results build on a density theorem on Riesz tensor products due to Fremlin, and on the Fubini-Stone Theorem.

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