关于Banach空间k一致凸及k一致光滑性  

On k-Uniform Convexity and k- Uniform Smoothness of Banach Spaces

作　　者：方习年[1] 

机构地区：[1]安徽机电学院,芜湖241000

出　　处：《Journal of Mathematical Research and Exposition》2000年第4期583-587,共5页数学研究与评论（英文版）

摘　　要：用统一且简洁形式刻画、定义了 Ｂａｎａｃｈ空间的（局部）ｋ一致凸、ｋ－强凸、ｗ－强凸性． 给出（局部）ｋ一致光滑性概念，并讨论了上述空间的关系及性质．In this paper, Using uniform and simple form we treat or define (locally) k-uni- formly convex and k-strongly convex and w-strong convex, and give (locally) k-uniform smoothness in Banach space. We discuss the relationship among them and their properties.

关 键 词：k-致光滑 K-强光滑 ω-强凸 巴拿赫空间 k-致凸 

分 类 号：O177.2[理学—数学]