大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2012年
2期
24-28
,共5页
Hahn-Banach定理%Banach空间%V-凸性模%广义V-凸性模
Hahn-Banach定理%Banach空間%V-凸性模%廣義V-凸性模
Hahn-Banach정리%Banach공간%V-철성모%엄의V-철성모
Hahn-Banach Theorem%Generalized V-Convexity%V-Convexity%Banach space
先给出了V-凸性模的两个等价定义,并利用Hahn-Banach定理给出了它们的等价性.其次,在V-凸性模定义的基础上引进了广义V-凸性模的概念,并给出了其两个等价定义.
先給齣瞭V-凸性模的兩箇等價定義,併利用Hahn-Banach定理給齣瞭它們的等價性.其次,在V-凸性模定義的基礎上引進瞭廣義V-凸性模的概唸,併給齣瞭其兩箇等價定義.
선급출료V-철성모적량개등개정의,병이용Hahn-Banach정리급출료타문적등개성.기차,재V-철성모정의적기출상인진료엄의V-철성모적개념,병급출료기량개등개정의.
We obtain the two equivalent definitions of V-Convexity, and give the equivalence of them by using the Hahn Banach theorem. Also, we introduce the generalized V-Convexity, and study the equivalent conditions of generalized V-Convexity.
