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arxiv: 1405.6502 · v2 · pith:VCRRPCPVnew · submitted 2014-05-26 · 🧮 math.FA

Order-type Henstock and McShane integrals in Banach lattice setting

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keywords banachintegralslatticemeasurespaceadditivecompactconsidered
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We study Henstock-type integrals for functions defined in a compact metric space $T$ endowed with a regular $\sigma$-additive measure $\mu$, and taking values in a Banach lattice $X$. In particular, the space $[0,1]$ with the usual Lebesgue measure is considered.

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