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ISSN : 1226-0657

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Vol.7 No.1
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A VERSION OF A CONVERSE MEASURABILITY FOR WIENER SPACE IN THE ABSTRACT WIENER SPACE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.1, pp.41-47
Kim, Bong-Jin (Department of Mathematics, Daejn University)
Kim, Bong-Jin. (2000). A VERSION OF A CONVERSE MEASURABILITY FOR WIENER SPACE IN THE ABSTRACT WIENER SPACE. 한국수학교육학회지시리즈B:순수및응용수학, 7(1), 41-47.
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Abstract

Johnson and Skoug [Pacific J. Math. 83(1979), 157-176] introduced the concept of scale-invariant measurability in Wiener space. And the applied their results in the theory of the Feynman integral. A converse measurability theorem for Wiener space due to the <TEX>$K{\ddot{o}}ehler$</TEX> and Yeh-Wiener space due to Skoug[Proc. Amer. Math. Soc 57(1976), 304-310] is one of the key concept to their discussion. In this paper, we will extend the results on converse measurability in Wiener space which Chang and Ryu[Proc. Amer. Math, Soc. 104(1998), 835-839] obtained to abstract Wiener space.

keywords
cylinder set, measurable norm, converse measurability, tight measure, abstract Wiener space Pettis integrability, separable-like function

한국수학교육학회지시리즈B:순수및응용수학

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