摘要
给出一致极凸空间与一致极光滑空间的若干特征刻画,指出一致极光滑空间是既严格介于一致光滑空间和强光滑空间之间,又严格介于完全k-光滑空间和强光滑空间之间的一类Banach空间,而一致极光滑空间和接近一致极光滑空间之间不存在任何蕴含关系.
In this article,some characteristic descriptions of uniformly extremely convex spaces and uniformly extremely smooth spaces are obtained.It is pointed out that the class of uniformly extremely smooth spaces lies strictly between either the class of uniformly smooth spaces and strongly smooth spaces or the class of fully k-smooth spaces and strongly smooth spaces.The relations between uniformly extremely smooth space with nearly uniformly smooth space are given also.
作者
苏雅拉图
Suyalatu(College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
北大核心
2016年第5期593-597,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11561053)
内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-034)
关键词
一致极凸空间
一致极光滑空间
完全k-光滑空间
强光滑空间
接近一致极光滑空间
uniformly extremely convex space
uniformly extremely smooth space
uniformly smooth space
fully k-smooth space
nearly uniformly smooth space
