Abstract.
We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) is Henstock integrable if and only if Γ can be represented as Γ = G + f, where G : [0, 1] → ck(X) is McShane integrable and f is a Henstock integrable selection of Γ.
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Di Piazza, L., Musiał, K. A Decomposition Theorem for Compact-Valued Henstock Integral. Mh Math 148, 119–126 (2006). https://doi.org/10.1007/s00605-005-0376-2
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DOI: https://doi.org/10.1007/s00605-005-0376-2