摘要
证明 Banach空间 X一致极光滑的充分必要条件为 X强光滑且自反 ,因而有关文献中引入的一致极光滑是介于一致光滑与强光滑之间的一种光滑性 .给出有关文献中相关概念与接近光滑性等概念之间的联系 .
It is proved that Banach space X is uniformly extremely smooth if and only if X is strong smooth and reflective The uniformly extremely smooth property,which is introduced in relevant reference,is one of smooth properties between uniformly smooth property and strong smooth property Some local nearly uniformly smooth properties and results related with extremely smooth property and other properties are put forward
出处
《广西科学》
CAS
2002年第2期99-100,103,共3页
Guangxi Sciences
基金
广西自然科学基金资助项目 ( 97110 0 6
关键词
BANACH空间
一致极光滑
很极光滑
强光滑
很光滑
接近光滑
H＊性质
Banach space,uniformly extremely smooth,very extremely smooth,strong smooth,very smooth,nearly smooth,H * property
