Banach空间的k-w^＊可凹点  

k-weak^＊ denting points in Banach spaces

作　　者：左明霞[1] 商绍强[2] 崔云安[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,哈尔滨150080 [2]哈尔滨工业大学理学院,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2010年第5期626-627,共2页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：黑龙江省海外学人项目(1152hq07)

摘　　要：引入k-w*可凹点和k-w*强暴露点的概念,它们分别是k-可凹点和k-强暴露点的推广.讨论了这两类点之间的关系,证明了k-w*强暴露点一定是k-w*可凹点,而且如果空间是可分的,那么k-w*可凹点就是k-w*强暴露点.In this paper,the notions of k-weak^＊ denting point and k-weak^＊ strongly exposed point in Banach space is introduced.The relations between them and prove that a k-weak^＊ strongly exposed point must be a k-weak^＊ denting point and if the space is separable is discussed,then a k-weak^＊ denting point is also a k-weak^＊ strongly exposed point.

关 键 词：k-w*可凹点 k-w*强暴露点 BANACH空间 

分 类 号：O177[理学—数学]