A Decomposition Theorem for Compact-Valued Henstock Integral |
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| Authors: | L Di Piazza K Musiał |
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| Institution: | (1) University of Palermo, Palermo, Italy;(2) Wrocław University, Wrocław, Poland |
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| 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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| Keywords: | 2000 Mathematics Subject Classifications: 28B20 26E25 26A39 54C60 54C65 |
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