A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals |
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| Authors: | C. K. Fong |
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| Affiliation: | (1) School of Mathematics and Statistics, Carleton University, KIS 5B6 Ottawa, Ontario, Canada |
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| Abstract: | 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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| Keywords: | Pettis integrability HK-integrals Saks-Henstock's property |
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