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关于极端凸非常凸和强凸空间
引用本文:苏雅拉图. 关于极端凸非常凸和强凸空间[J]. 内蒙古师范大学学报(自然科学版), 1997, 0(3): 7-11
作者姓名:苏雅拉图
作者单位:内蒙古师范大学数学系!呼和浩特,010022
摘    要:对Banach空间引进了极端凸的概念,讨论了这种新的凸性与其它凸性之间的关系,讨论了非常凸和强凸空间,得到了一些新结果。

关 键 词:极端凸 非常凸 强凸 巴拿赫空间 凸性

ON EXTREMELY CONVEX,VERY CONVEX AND STRONGLY CONVEX BANACH SPACES
Suyalatu. ON EXTREMELY CONVEX,VERY CONVEX AND STRONGLY CONVEX BANACH SPACES[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 1997, 0(3): 7-11
Authors:Suyalatu
Abstract:In this paper, we introduced the notion of extreme convexity in Banach spaces,and discussed the relation of this new convexity with other various convexity. In addition, we also studied the very smooth space and strongly smooth space, and obtained some results about them.
Keywords:extremely convex   very convex   strongly convex   weakly locally uniformly convex   weakly midpoint locally uniformly convex
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