| 引用本文： |
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张吉超,魏文展,马百万.Banach空间中K-严格凸的等价刻画[J].广西科学,2011,18(3):207-210. [点击复制]
- ZHANG Ji-chao,WEI Wen-zhan,MA Bai-wan.Equivalent Characterizations about K-Strictly Convex in Banach Space[J].Guangxi Sciences,2011,18(3):207-210. [点击复制]
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| 摘要: |
| 利用类似于Banach空间严格凸等价刻画时的方法,给出Banach空间K-严格凸的一些性质,当X,Y都是Banach空间时,给出直和X⊕Y是K1+K2+1-严格凸的1个充分条件,以及直和X⊕Y空间是K1+K2+1-严格凸的2个充要条件. |
| 关键词: Banach空间 K-严格凸 直和 |
| DOI： |
| 投稿时间：2011-01-07 |
| 基金项目:广西自然科学基金项目[桂科自0728050]资助 |
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| Equivalent Characterizations about K-Strictly Convex in Banach Space |
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ZHANG Ji-chao1, WEI Wen-zhan2, MA Bai-wan1
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| (1.Collge of Mathematical Science, Guangxi Teachears' University, Nanning, Guangxi, 530023, China;2.Guangxi Economic and Trade Polytechnic, Nanning, Guangxi, 530021, China) |
| Abstract: |
| Some qualities about K-strictly convex in Banach space are given by the ways of the similar equivalent characterizations about strictly convex in Banach space.When X, Y is Banach space, one new sufficient condition and two new sufficient and necessary conditions are given simultaneously for the direct sum X⊕Y space to be K1+K2+1-strictly convex. |
| Key words: Banch space K-strictly convex direct sum |
