Banach空间凸性光滑性的进一步探讨(Ⅰ)──各类光滑空间的等价性  

Further Exploration on Convexity and Smoothness of Banach Spaces (Ⅰ)──Equivalence of the Various Kinds of Smooth Spaces

作　　者：郝飞[1] 刘德[1] 罗成[1] 

机构地区：[1]内蒙古大学数学系,内蒙古呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2002年第1期7-11,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自然科学基金资助项目 (批准号 :990 30 1 -1 )

摘　　要：引入和中点局部一致凸 (弱中点局部一致凸 )空间对偶的中点局部一致光滑 (弱中点局部一致光滑 )空间 ,讨论了它们的性质及其和已知光滑空间的联系 。The midpoint Locally uniformly smoothes (the weakly midpoint locally uniformly smooth) spaces,which are the spaces dualized with the midpoint locally uniformly convex (the weakly midpoint locally uniformly convex) spaces,are introduced,and their properties and the relations with some known smooth spaces are discussed.Moreover,a series of the equivalent conditions of the various kinds of smooth spaces are given.

关 键 词：光滑空间 BANACH空间 凸性 光滑性 中点局部一致凸空间 中点局部一致光滑空间 

分 类 号：O177.2[理学—数学]