충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제19권3호
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- Pages.231-236
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- 2006
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
THE HENSTOCK-PETTIS INTEGRAL OF BANACH SPACE-VALUED FUNCTIONS
- Park, Jae Myung (Department of Mathematics Chungnam National University) ;
- Lim, Jong Tae (Department of Mathematics Chungnam National University) ;
- Kim, Young Kuk (Department of Mathematics Education Seowon University)
- 투고 : 2006.06.30
- 발행 : 2006.09.30
초록
In this paper, we study the Henstock-Pettis integral of Banach space-valued functions mapping an interval [0, 1] in R into a Banach space X. In particular, we show that a Henstock integrable function on [0, 1] is Henstock-Pettis integrable on [0, 1] and a Pettis integrable function is Henstock-Pettis integrable on [0, 1].