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Concerning Daniell integrals on an ultracomplete uniform space

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Abstract

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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Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 601–610, October, 1974.

In conclusion the author thanks D. A. Raikov for his remarks concerning my paper.

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Fedorova, V.P. Concerning Daniell integrals on an ultracomplete uniform space. Mathematical Notes of the Academy of Sciences of the USSR 16, 950–955 (1974). https://doi.org/10.1007/BF01104262

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  • DOI: https://doi.org/10.1007/BF01104262

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