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Article

Fong, C. K.
A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 531-536
MSC: 26A39, 28A75, 28B05, 28E50, 46G10 | MR 1923258 | Zbl 1011.28006
Keywords:
Pettis integrability; HK-integrals; Saks-Henstock’s property
Summary:
We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.
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