线性赋范空间中各种光滑性的等价定义  

EQUIVALENT DEFINITIONS OF VARIOUS KINDS OF SMOOTHNESS IN NORMED LINEAR SPACES

作　　者：王体福[1] 

机构地区：[1]湖南师范大学数学系

出　　处：《湖南师范大学自然科学学报》1993年第2期114-117,共4页Journal of Natural Science of Hunan Normal University

摘　　要：本文给出线性赋范空间是一致光滑的、强光滑的、非常光滑的、光滑的等价定义.这4个定义便于比较,应用方便.In this paper,we provied equivalent definitions of a normed linear space being uniformly smooth,strongly smooth, very smooth and smooth. The four definitions can be compared easily and applied conveniently.

关 键 词：支撑泛函 光滑性 赋范空间 

分 类 号：O177.3[理学—数学]