摘要
本文用单位球的切片统一且简捷地处理Ｂａｎａｃｈ 空间的（局部）Ｋ 一致凸、近一致凸、近一致光滑性；定义Ｂａｎａｃｈ 空间的（局部）Ｋ 一致光滑、局部近一致凸、局部近一致光滑、近－强凸、近－强光滑性等概念，并讨论上述凸性、光滑性的关系及性质．
In this paper, using slice of unit we uniformly and simply treat the concepts of (locally) K uniformly convexity, near uniformly convexity and near uniformly smoothness of Banach spaces, and define (locally) K uniformly smoothness, locally near uniformly convexity, near strongly convexity and near strongly smoothness of Banach spaces. We discuss the relationship among them and their properties.
出处
《数学杂志》
CSCD
1999年第3期293-298,共6页
Journal of Mathematics
关键词
K一致光滑
切片
巴拿赫空间
光滑性
凸性
K uniformly smooth
locally near uniformly smooth
near strongly smooth
(H) property
(S) property
