바로가기메뉴

본문 바로가기 주메뉴 바로가기
 

logo

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

ISSN : 3059-0604

Article Contents

Prev Next
e-Submission

Vol.6 No.1

PDF Citation Share

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1999, v.6 no.1, pp.17-25
Kim, Bong-Jin
Kim,, B. (1999). , 6(1), 17-25.

Abstract

In this paper, we investigate the properties of the Dunford-Schwartz integral (the integral with respect to a finitely additive measure). Though it is not equivalent to the cylinder integral, we can show that a cylinder probability v on (H, C) can be extend as a finitely additive probability measure $\hat{v}$ on a field $\hat{C}{\;}{\supset}{\;}C$ which is equivalent to the Dunford-Schwartz integral on ($H,{\;}\hat{C},{\;}\hat{v}$).

keywords
cylinder probability, cylinder integral, finitely additive set function, Dunford-Schwartz integral

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

e-Submission OA Policy