Korean Journal of Mathematics
- Volume 14 Issue 2
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- Pages.169-183
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- 2006
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
ON C-INTEGRAL OF BANACH-VALUED FUNCTIONS
- Ye, Guoju (College of Science Hohai University) ;
- Zhao, Dafang (College of Science Hohai University)
- Received : 2006.08.23
- Published : 2006.12.30
Abstract
In this paper, we define and study the C-integral and the strong C-integral of functions mapping an interval [a,b] into a Banach space X. 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 consider the property of primitives corresponding to Banach-valued functions with respect to the C-integral and the strong C-integral.