Rotundity of Orlicz-Bochner Space with Luxemburg Norm  

作　　者：刘玉霞 石忠锐 张品 

机构地区：[1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200072, China

出　　处：《Journal of Shanghai University(English Edition)》2003年第4期322-326,共5页上海大学学报（英文版）

基　　金：theNationalNaturalScienceFoun dationofChina (GrantNo .199710 2 2 )

摘　　要：In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessary conditions were given for the extreme point of Orlicz-Bochner sequence space and the conditions in part for Orlicz-Bochner function space.In this paper, by using the generating function Φ and X the criteria of the rotundity for the Orlicz-Bochner function and sequence spaces endowed with the Luxemburg norm were obtained. And the sufficient and necessary conditions were given for the extreme point of Orlicz-Bochner sequence space and the conditions in part for Orlicz-Bochner function space.

关 键 词：extreme point ROTUNDITY Orlicz-Bochner space Luxemgury norm. 

分 类 号：O177[理学—数学]