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arXiv · 2208.02746

Conditional expectation operators on $C(X)$

Mohamed Amine Ben Amor
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Abstract

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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Mohamed Amine Ben Amor. 2022-08-04. Conditional expectation operators on $C(X)$. https://arxiv.org/abs/2208.02746

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