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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.4 No.1

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SOME REMARKS ON UNIVERSAL PETTIS INTEGRAL PROPERTY

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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

한국수학교육학회지시리즈B:순수및응용수학

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