| 引用本文： |
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魏文展,徐厚宝.Banach空间若干光滑性及其相互关系[J].广西科学,2002,9(2):99-100,103. [点击复制]
- Wei Wenzhan,Xu Houbao.Some Smooth Properties of Banach Spaces and Their Relations[J].Guangxi Sciences,2002,9(2):99-100,103. [点击复制]
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| 摘要: |
| 证明Banach空间X一致极光滑的充分必要条件为X强光滑且自反,因而有关文献中引入的一致极光滑是介于一致光滑与强光滑之间的一种光滑性.给出有关文献中相关概念与接近光滑性等概念之间的联系. |
| 关键词: Banach空间 一致极光滑 很极光滑 强光滑 很光滑 接近光滑 H*性质 |
| DOI： |
| 投稿时间：2001-09-04修订日期：2002-03-04 |
| 基金项目:广西自然科学基金资助项目(9711006)。 |
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| Some Smooth Properties of Banach Spaces and Their Relations |
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Wei Wenzhan, Xu Houbao
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| (Dept. of Math., Guangxi Teachers College, East Mingxiulu, Nanning, Guangxi, 530001, China) |
| Abstract: |
| It is proved that Banach space X is uniformly extremely smooth if and only if X is strong smooth and reflective. The uniformly extremely smooth property,which is introduced in relevant reference,is one of smooth properties between uniformly smooth property and strong smooth property. Some local nearly uniformly smooth properties and results related with extremely smooth property and other properties are put forward. |
| Key words: Banach space uniformly extremely smooth very extremely smooth strong smooth very smooth nearly smooth H* property |
