Concerning Daniell integrals on an ultracomplete uniform space
Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 601-610.

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We show that all the completion elements of a free locally convex space of an ultracomplete separable uniform space $X$ are integrals with respect to certain measures on $X$.
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     author = {V. P. Fedorova},
     title = {Concerning {Daniell} integrals on an ultracomplete uniform space},
     journal = {Matemati\v{c}eskie zametki},
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     year = {1974},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a12/}
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V. P. Fedorova. Concerning Daniell integrals on an ultracomplete uniform space. Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 601-610. http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a12/