节点文献
Banach空间的K-极凸性、K-极光滑性
K-extreme Convexity and K-extreme Smoothness of Banach Space
【摘要】 本文重新刻画了K-极凸空间与K-极光滑空间,并在此定义的基础上讨论了K-极凸空间与K-极光滑空间的对偶性;讨论了K-极凸空间与K-一致凸,K-强凸,K-DC等空间的关系;讨论了此种刻画与其它的定义之间的关系,并给出了一些等价定义,以及一些性质.
【Abstract】 In this paper, we have redefined the K-extreme convex space and Kextreme smooth space. Based on this definition, we discuss the duality of the Kextreme convex space and the K-extreme smooth space; and discuss the relationship between K-strongly convex, K-DC and the K-extreme convex space; the relations between these characterizations and other definitions are discussed; and some equivalent definitions and some properties are given.
【关键词】 K-极凸性；
K-极光滑性；
等价刻画；
【Key words】 K-extreme convexity； K-smoothness； equivalent characterization；
【Key words】 K-extreme convexity； K-smoothness； equivalent characterization；
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2017年03期
- 【分类号】O177.2
- 【被引频次】1
- 【下载频次】21