Conditional expectation operators on C(X)
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 Lp 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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