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MR619065 (82g:28015) 28B05 (46G10)
Dinculeanu, Nicolae Uniform $\sigma $-additivity and uniform convergence of conditional expectations in the space of Bochner or Pettis integrable functions. General topology and modern analysis (Proc. Conf., Univ. California, Riverside, Calif., 1980), pp. 391--397, Academic Press, New York-London, 1981.
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