한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제4권1호
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- Pages.87-92
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- 1997
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
SOME REMARKS ON UNIVERSAL PETTIS INTEGRAL PROPERTY
초록
Some function of a complete finite measure space (for short, CFMS) into the duals and pre-duals of weakly compactly generated (for short, WCG) spaces are considered. We shall show that a universally weakly measurable function f of a CFMS into the dual of a WCG space has RS property and bounded weakly measurable functions of a CFMS into the pre-duals of WCG spaces are always Pettis integrable.