English

Conditional expectation operators on $C(X)$

Functional Analysis 2022-08-05 v1

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\mathcal{L}_p spaces and in particular in C(X)C(X). This work answers positively to this question and participates in an old discussion on integrals in C(X)C(X) space.

Cite

@article{arxiv.2208.02746,
  title  = {Conditional expectation operators on $C(X)$},
  author = {Mohamed Amine Ben Amor},
  journal= {arXiv preprint arXiv:2208.02746},
  year   = {2022}
}
R2 v1 2026-06-25T01:29:10.219Z