SOME REMARKS ON UNIVERSAL PETTIS INTEGRAL PROPERTY
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1997, v.4 no.1, pp.87-92
Seung, Byong-In
(Department of Mathematics, Kyonggi University)
Seung, Byong-In.
(1997). SOME REMARKS ON UNIVERSAL PETTIS INTEGRAL PROPERTY. 한국수학교육학회지시리즈B:순수및응용수학, 4(1), 87-92.
Abstract
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.
- keywords
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universally weakly measurable,
<tex> $weak^{*}$</tex> integral,
universal Pettis integral