| On Hereditarily Indecomposable Banach Spaces |
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| 引用本文： | Li Xin CHENG Huai Jie ZHONG. On Hereditarily Indecomposable Banach Spaces[J]. 数学学报(英文版), 2006, 22(3): 751-756. DOI: 10.1007/s10114-005-0614-5 |
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| 作者姓名： | Li Xin CHENG Huai Jie ZHONG |
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| 作者单位： | [1]Department of Mathematics, Xiamen University, Xiamen 361005, P. R. Chiua and The Institute of Mathematical Sciences, The Chinese University of Hang Kong, Hang Kong [2]Department of Mathematics, Fujian Normal University, Fuzhou 350007, P. R. China |
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| 基金项目： | Research supported by NSFC （Grant No. 10471114 and No. 10471025） |
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| 摘 要： |
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| 关 键 词： | 空间分解 遗传非分解性Banach空间 凸模 数学分析 |
| 收稿时间： | 2003-09-10 |
| 修稿时间： | 2003-09-102004-03-04 |
On Hereditarily Indecomposable Banach Spaces |
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| Li Xin Cheng,Huai Jie Zhong. On Hereditarily Indecomposable Banach Spaces[J]. Acta Mathematica Sinica(English Series), 2006, 22(3): 751-756. DOI: 10.1007/s10114-005-0614-5 |
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| Authors: | Li Xin Cheng Huai Jie Zhong |
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| Affiliation: | (1) Department of Mathematics, Xiamen University, Xiamen 361005, P. R. China;(2) The Institute of Mathematical Sciences, The Chinese University of Hang Kong, Hang Kong;(3) Department of Mathematics, Fujian Normal University, Fuzhou 350007, P. R. China |
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| Abstract: | This paper shows that every non-separable hereditarily indecomposable Banach space admits an equivalent strictly convex norm, but its bi-dual can never have such a one; consequently, every non-separable hereditarily indecomposable Banach space has no equivalent locally uniformly convex norm. |
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| Keywords: | decomposition of spaces hereditarily indecomposable Banach space renormings |
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