A Yosida�Hewitt decomposition for totally monotone set functions on locally compact s-compact topological spaces

• Autores: Yann Rébillé
• Localización: International journal of approximate reasoning, ISSN 0888-613X, Vol. 48, Nº 3, 2008, págs. 676-685
• Idioma: inglés
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• Resumen

  • We prove for totally monotone set functions defined on the set of Borel sets of a locally compact s-compact topological space a similar decomposition theorem to the famous Yosida�Hewitt�s one for finitely additive measures. This way any totally monotone decomposes into a continuous part and a pathological part which vanishes on the compact subsets. We obtain as corollaries some decompositions for finitely additive set functions and for minitive set functions.