| James有限表示定理的推广 |
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| 引用本文： | 程庆进.James有限表示定理的推广[J].厦门大学学报(自然科学版),2007,46(5):605-607. |
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| 作者姓名： | 程庆进 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 摘 要： | 超能和有限表示是研究超自反Bananch空间的两个重要工具,而James表示定理是建立超自反Banach空间有限树特征的桥梁.本文首先引入了Banach空间中两集合之间有限表示的概念,其可视作两空间之间有限表示概念的推广,然后利用超能和推广的有限表示将空间上的James有限表示定理推广到非空凸子集上.
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| 关 键 词： | 超能 Banach空间 |
| 文章编号： | 0438-0479（2007）05-0605-03 |
| 修稿时间： | 2007-01-31 |
The Generalization of James Finite Representability Theorem |
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| CHENG Qing-jin.The Generalization of James Finite Representability Theorem[J].Journal of Xiamen University(Natural Science),2007,46(5):605-607. |
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| Authors: | CHENG Qing-jin |
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| Institution: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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| Abstract: | Ultrapower and finite representation are two important tools to study super-reflexive Banach spaces,and James finite representability theorem is the bridge to build the finite tree characterization of super-reflexive spaces.This paper first introduces a notion of finite representation between two sets,which is a generalized setting to the notion between two spaces; then in terms of ultrapower and generalized finite representation,the paper generates James finite representability theorem to a general nonempty convex set. |
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| Keywords: | ultrapower Banach space |
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