ON SOME PROPERTIES OF BOUNDED <TEX>$X^{*}$</TEX>-VALUED FUNCTIONS

Yoo, Bok-Dong; Yoo, Bok-Dong

오늘 하루 그만보기

P-ISSN3059-0604
E-ISSN3059-1309
KCI

홈으로

OA 정책

ISSN : 3059-0604

논문 상세

이전 다음

논문 투고

Vol.1 No.1

PDF Citation

ON SOME PROPERTIES OF BOUNDED $X^{*}$-VALUED FUNCTIONS

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

1994, v.1 no.1, pp.25-27

Yoo, Bok-Dong

Yoo, Bok-Dong. (1994). ON SOME PROPERTIES OF BOUNDED <TEX>$X^{*}$</TEX>-VALUED FUNCTIONS, 1(1), 25-27.

복사

Abstract

Suppose that X is a Banach space with continuous dual $X^{**}$, ($\Omega$, $\Sigma$, ${\mu}$) is a finite measure space. f : $\Omega\;{\longrightarrow}$ $X^{*}$ is a weakly measurable function such that $\chi$$^{**}$ f $\in$ $L_1$(${\mu}$) for each $\chi$$^{**}$ $\in$ $X^{**}$ and $T_{f}$ : $X^{**}$ \longrightarrow $L_1$(${\mu}$) is the operator defined by $T_{f}$($\chi$$^{**}$) = $\chi$$^{**}$f. In this paper we study the properties of bounded $X^{*}$ - valued weakly measurable functions and bounded $X^{*}$ - valued weak＊ measurable functions.(omitted)

keywords

바로가기메뉴

논문 상세

Vol.1 No.1

ON SOME PROPERTIES OF BOUNDED $X^{*}$-VALUED FUNCTIONS

Abstract

한국수학교육학회지시리즈B:순수및응용수학