| 引用本文： |
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马百万,魏文展,张吉超.(X⊕Y)1与K-Drop凸空间[J].广西科学,2011,18(2):126-128. [点击复制]
- MA Bai-wan,WEI Wen-zhan,ZHANG Ji-chao.(X⊕Y)1 and K-Drop Convex Space[J].Guangxi Sciences,2011,18(2):126-128. [点击复制]
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| 摘要: |
| 讨论Banach空间Xk-drop凸及局部k-drop凸的性质,给出X(局部)k-drop凸的充要条件,并利用该充要条件,证明若(X⊕Y)1为k-DC空间,则X,Y分别为k-DC空间. |
| 关键词: k-drop凸 局部k-drop凸 仿射张 |
| DOI： |
| 投稿时间：2010-10-25修订日期：2010-12-13 |
| 基金项目:广西自然科学基金项目(0135002)资助 |
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| (X⊕Y)1 and K-Drop Convex Space |
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MA Bai-wan1, WEI Wen-zhan2, ZHANG Ji-chao1
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| (1.School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China;2.Guangxi Economic and Trade Polytechnic, Nanning, Guangxi, 530021, China) |
| Abstract: |
| We give the suffcient and necessary condition for Banach space to be (L)k-DC, by which it is proved that if (X⊕Y)1 is the space k-DC. |
| Key words: k-drop convexity locally k-drop convexity affinely span |
