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Product of uniform measures

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Abstract

For i =  (1, 2), let X i be Hausdorff uniform spaces and μ i uniform measures on X i . We determine the existence of the product uniform measure μ 1⊗μ 2 on X 1  ×  X 2 and prove a Fubini type theorem and a continuity property. The result is extended to vector-valued uniform measures.

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  1. Department of Mathematics, University of Iowa, Iowa City, IA, 52242, USA

    Surjit Singh Khurana

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  1. Surjit Singh Khurana
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Correspondence to Surjit Singh Khurana.

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Khurana, S.S. Product of uniform measures. Ricerche mat. 57, 203–208 (2008). https://doi.org/10.1007/s11587-008-0037-6

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  • DOI: https://doi.org/10.1007/s11587-008-0037-6

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