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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.4 No.1

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Seung,, B. (1997). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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
universally weakly measurable, <tex> $weak^{＊}$</tex> integral, universal Pettis integral

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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