摘要
引入了局部凸空间中k-极凸性和k-极光滑性这一对对偶概念,然后讨论与其它k-极凸性和k-极光滑性之间的关系,并给出了它们在P-自反的条件下的等价对偶定理.
In this paper, the dual notions of k-- extreme convexity and k-- extreme smoothness are introduced in locally convex spaces, which are generalization of both k-- extreme convexity（k-- extreme smoothness）in Banach spaces. The relationship between them and the other convexity （smoothness） are discussed. In addition, on the conditions of P-- reflexivity, we obtain further the equivalent dual theorem of between k--extreme convexity and k--extreme smoothness.
出处
《广西师范学院学报（自然科学版）》
2013年第2期25-28,共4页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
广西自然科学基金资助项目(0728050)
关键词
k-极凸性
k-极光滑性
偶对
P-自反
k-- extreme convex k-- extreme smoothness dual P-- reflexivity
