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非常极凸空间
引用本文:季乐文,魏文展,蓝美玲.非常极凸空间[J].应用泛函分析学报,2014(2):189-192.
作者姓名:季乐文  魏文展  蓝美玲
作者单位:[1]广西师范学院数学科学学院,南宁530023 [2]江西理工大学文法学院,赣州341000
基金项目:广西自然科学基金(0728050)
摘    要:本文使用非常极凸的定义,证明了非常极凸和非常光滑是互为对偶空间且严格介于弱k凸和非常凸之间的空间,最后得到了非常极凸的一些特征.

关 键 词:非常极凸  弱k凸  非常凸

Very Extremely Convex Spaces
JI Lewen,WEI Wenzhan,LAN Meiling.Very Extremely Convex Spaces[J].Acta Analysis Functionalis Applicata,2014(2):189-192.
Authors:JI Lewen  WEI Wenzhan  LAN Meiling
Institution:1. School of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, China; 2. School of Humanity and Law, Jiangxi University of Science and Technology, Ganzhou 341000, China)
Abstract:In the paper, we use the concept of very extremely convex space to show that the very extremely convex and the very smooth space is a duality space which lies strictly between weak k convex space and very convex space, at last, we obtain some characteristics of very extremely convex space.
Keywords:very extremely convex  weakly k convex  very convex
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