论文标题

$ C(x)$的有条件期望运营商

Conditional expectation operators on $C(X)$

论文作者

Amor, Mohamed Amine Ben

论文摘要

在2021年的COSAEF会议上,几位参与者问了一个问题,即在Kuo,Labaushagne和Watson意义上是否可以在$ \ Mathcal {l} _p $ Spaces以及尤其是$ C(x)$中构建有条件的期望操作员。这项工作对这个问题有积极的回答,并参与了$ c(x)$空间中积分的旧讨论。

At the COSAEF conference in 2021, several participants asked the question whether a conditional expectation operator in the sense of Kuo, Labaushagne and Watson could be constructed in vector lattices other than $\mathcal{L}_p$ spaces and in particular in $C(X)$. This work answers positively to this question and participates in an old discussion on integrals in $C(X)$ space.

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