| 引用本文： |
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季乐文,魏文展,申守伟.Banach空间的ω-drop凸性[J].广西科学,2013,20(2):103-106. [点击复制]
- JI Le-wen,WEI Wen-zhan,SHEN Shou-wei.ω-Drop Convex of Banach Spaces[J].Guangxi Sciences,2013,20(2):103-106. [点击复制]
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| 摘要: |
| 利用单位球的切片定义Banach空间的ω-drop凸性,证明ω-drop凸空间是ω-强光滑的对偶空间,并给出ω-drop凸空间的一些性质. |
| 关键词: ω-drop凸 ω-强光滑 乘积空间 |
| DOI： |
| 投稿时间：2012-10-20修订日期：2013-01-15 |
| 基金项目:广西自然科学基金项目(0135002)资助。 |
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| ω-Drop Convex of Banach Spaces |
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JI Le-wen, WEI Wen-zhan, SHEN Shou-wei
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| (Collge of Mathematical Science, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China) |
| Abstract: |
| By using the slice of unit ball,we define ω-drop convex of Banach space uniformly and concisely.We show that the ω-drop convex space is the duality of ω-strong smooth space and discuss the properties of the ω-drop convex.At last, we discuss the ω-strong convex in product space lp(Xi). |
| Key words: ω-drop convex ω-strong smooth product space |
