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Conditional expectation operators on $C(X)$

Amor, Mohamed Amine Ben
arXiv (All) · Papers
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functional-analysis
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
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