摘要
引入局部凸空间有限严格凸和有限光滑性的概念,建立对偶关系,证明局部凸空间中(XY)1的有限严格凸和有限光滑性既是Banach空间有限严格凸和有限光滑性概念在局部凸空间中的推广,又是局部凸空间k-严格凸和k-光滑性的自然推广.
The concept of finite strict convexity and finite smoothness space is introduced into locally convex space.It is shown that there exists a duality between finite strict convexity and finite smoothness,and some geometrical properties of quotient,finite strict convexity with(XY)1 and finite smoothness with(XY)1 are investigated in this thesis.
出处
《广西科学》
CAS
2012年第2期112-114,共3页
Guangxi Sciences
基金
广西自然科学基金项目(桂科自0728050)资助
关键词
局部凸空间
K-严格凸
K-光滑性
有限严格凸性
有限光滑性
locally convex spaces
k-strictly convexity
k-smoothness
finite strict convexity
finite smoothness