The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 6 Issue 1
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- Pages.17-25
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- 1999
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
A NOTE ON THE INTEGRATION WITH RESPECT TO FINITELY ADDITIVE SET FUNCTIONS
Abstract
In this paper, we investigate the properties of the Dunford-Schwartz integral (the integral with respect to a finitely additive measure). Though it is not equivalent to the cylinder integral, we can show that a cylinder probability v on (H, C) can be extend as a finitely additive probability measure
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