摘要
引入K平空间、K强平的Banach空间,证明了K平的Banach空间X的共轭空间X*没有K非常光滑点,而S(X*)的非K光滑点在S(X*)中稠密,刻画了凸性更差的Banach空间的性质.另外,还引入强平模、K强平模的概念,并给出强平模、K强平模的充分必要条件.
K even space and K strongly even space are introduced.Some facts that no K very smooth point exist in the conjugated space X＊ of K even Banach space X,and that the non-K-smooth point is dense in S（X＊） are proved,which characterize the property of the Banach space with the worse convexity.In addition,the concepts of strongly even module and of K strongly even module are also proposed,and one sufficient and necessary condition for them is given,respectively,which will provide a base to discuss its convexity quantitatively.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2010年第4期341-345,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2009J05010)
内蒙古自然科学基金资助项目(20080404MS0102)
集美大学校科研启动基金
关键词
平空间
强平空间
K平空间
K强平空间
强平模
K强平模
even space
strongly even space
K even space
K strongly even space
strongly even module
K strongly even module
