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具KMP的Banach空间具有RNP的条件
引用本文:欧阳自根.具KMP的Banach空间具有RNP的条件[J].南华大学学报(自然科学版),1997(1).
作者姓名:欧阳自根
作者单位:中南工学院基础课部!衡阳,421001
摘    要:基于若Banach空间X具RNP,则X具KMP,但逆命题成立否,尚待研究.本文给出了对于一些特殊的Banach空间,若X具KMP,则它同样具RNP.

关 键 词:Banach空间  端点  可凹点

Conditions Under Which Banach Space Having KMP Has RNP
Ouyang Zhigen.Conditions Under Which Banach Space Having KMP Has RNP[J].Journal of Nanhua University:Science and Technology,1997(1).
Authors:Ouyang Zhigen
Institution:Department of Basic Sciences
Abstract:It is known that if Banach space X has RNP, then X has KMP. But it is not known whether the reverse holds true. This paper presents the hypothesis that in some special Banach spaces, if X has KMP, it surely has RNP.
Keywords:Banach space  extreme points  dentable sets  
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