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Concerning Daniell integrals on an ultracomplete uniform space

V. P. Fedorova

Moscow Pedagogical Institute

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 $X$.

UDC: 513.88

Received: 08.01.1974

 English version: Mathematical Notes, 1974, 16:4, 950–955

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