Measures on the product of compact spaces



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Villanueva, Ignacio (2002) Measures on the product of compact spaces. Monatshefte für Mathematik, 137 (2). pp. 167-172. ISSN 1436-5081

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If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures μ defined on Kn. This result essentially says that for every such measure μ there exists a measure μ0 defined on K such that the measure μ of a product A1 ו • •×An of Borel sets of K equals the measure μ0 of the intersection A01 \• • •\A0n, where the A0j’s are certain transforms of the Ai’s.

Item Type:Article
Uncontrolled Keywords:Uncountable metrizable compact space, Vector valued measures
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11583
Deposited On:19 Nov 2010 12:05
Last Modified:06 Feb 2014 09:07

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