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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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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/

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