A decomposition theorem for polymeasures |
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| Authors: | Fernando Bombal Ignacio Villanueva |
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| Affiliation: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain |
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| 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. |
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| Keywords: | Polymeasures Multilinear operators Vector measures |
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