Geodesic
A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 531-536

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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.
Classification : 26A39, 28A75, 28B05, 28E50, 46G10
Keywords: Pettis integrability; HK-integrals; Saks-Henstock’s property 
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     author = {Fong, C. K.},
     title = {A continous version of {Orlicz-Pettis} theorem via vector-valued {Henstock-Kurzweil} integrals},
     journal = {Czechoslovak Mathematical Journal},
     pages = {531--536},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2002},
     mrnumber = {1923258},
     zbl = {1011.28006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a6/}
}
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Fong, C. K. A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 531-536. http://geodesic.mathdoc.fr/item/CMJ_2002__52_3_a6/