A decomposition theorem for polymeasures
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2007
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Elsevier
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Bombal Gordon, F., Villanueva Díez, I. & Pérez García, D. «A Decomposition Theorem for Polymeasures». Journal of Mathematical Analysis and Applications, vol. 336, n.o 2, diciembre de 2007, pp. 1316-23. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.03.046.
Abstract
We prove that every countably additive polymeasure can be decomposed in a unique way as the sum of a "discrete" polymeasure plus a "continuous" polymeasure. This generalizes a previous result of Saeki.