Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 1
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- Pages.1-10
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
ON STRONG C-INTEGRAL OF BANACH-VALUED FUNCTIONS
- Zhao, Dafang (College of Science Hohai University) ;
- Ye, Guoju (College of Science Hohai University)
- Received : 2006.11.02
- Published : 2007.03.31
Abstract
In this paper, we define and study the Banach-valued C-integral and strong C-integral, We prove that the C-integral and the strong C-integral are equivalent if and only if the Banach space is finite dimensional. We also study the primitive of the strong C-integral in terms of the C-variational measures.