| Very Convex Banach Spaces |
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| 作者单位： | Tegusi (特古斯) Suyalatu (苏雅拉图) (Department of Mathematics，Inner Mongolia Normal University，Huhhot，010022) Li Yongjin (黎永锦) (Department of Mathematics，Zhongshan University，Guangzhou，510275) |
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| 摘 要： | ＶｅｒｙＣｏｎｖｅｘＢａｎａｃｈＳｐａｃｅｓＴｅｇｕｓｉ（特古斯）Ｓｕｙａｌａｔｕ（苏雅拉图）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＩｎｎｅｒＭｏｎｇｏｌｉａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈｕｈｈｏｔ，０１００２２）ＬｉＹｏｎｇｊｉｎ...
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Very Convex Banach Spaces |
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| Authors: | Tegusi |
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| Abstract: | In this paper, we introduce the notion of a very convex Banach space, which is the dual of a very smooth space, i.e., if X * is very smooth then X is very convex, and vice versa. We also show that if X ** is strictly convex then X is very convex. Eventually, we give a duality theorem for weak locally uniformly convex spaces and weak locally uniformly smooth spaces. |
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| Keywords: | and Phrases Very Convex Space Very Smooth Space Weak Locally Uniformly Convex Space Weak Locally Uniformly Smooth Space |
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