A Decomposition Theorem for Compact-Valued Henstock Integral

• Autores: L. Di Piazza, K. Musial
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 2, 2006, págs. 119-126
• Idioma: inglés
• DOI: 10.1007/s00605-005-0376-2
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• Resumen

  • We prove that if X is a separable Banach space, then a measurable multifunction G : [0, 1] ? ck(X) is Henstock integrable if and only if G can be represented as G = G + f, where G : [0, 1] ? ck(X) is McShane integrable and f is a Henstock integrable selection of G.