학술저널
THE HENSTOCK-PETTIS INTEGRAL OF BANACH SPACE-VALUED FUNCTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 3
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2006.091 - 6 (6 pages)
- 0
커버이미지 없음
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].
1. Introduction and Preliminaries
2. The Henstock-Pettis Integral
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