Gurarii的凸性模与正规结构(英文)  

GURARII’S MODULUS OF CONVEXITY AND NORMAL STRUCTURE

作　　者：田长安[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学杂志》2012年第6期1039-1044,共6页Journal of Mathematics

基　　金：Supported by Technology and Pioneering Project in Henan Province(112300410323;122300410375);National Natural Science Foundation of China(11271112)

摘　　要：本文研究了Gurarii的凸性模与正规结构的联系.利用关于该模的不等式得出了如果存在∈,1≤∈≤2,使得β(∈)>∈-1.则空间X具有一致正规结构.In this paper,we mainly study the relation between the modulus of convexity introduced by Gurarii,β（∈）,and uniform normal structure.By some inequalities on this modulus,we obtain that Banach space X has uniform normal structure if there exists,1≤∈≤2,such that β（∈） ∈-1.

关 键 词：Gurarii凸性模 一致正规结构 超限积 

分 类 号：O177.1[理学—数学]