| L（Ω, μ） CANNOT ISOMETRICALLY CONTAIN SOME THREE-DIMENSIONAL SUBSPACES OF AM-SPACES |
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| 引用本文： | 定光桂. L（Ω, μ） CANNOT ISOMETRICALLY CONTAIN SOME THREE-DIMENSIONAL SUBSPACES OF AM-SPACES[J]. 数学物理学报(B辑英文版), 2007, 27(2): 225-231. DOI: 10.1016/S0252-9602(07)60021-6 |
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| 作者姓名： | 定光桂 |
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| 作者单位： | School of |
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| 基金项目： | This study is supported by the National Natural Science Foundation of China (10571090)，the Research Fund for the Doctoral Program of Higher Education (20060055010) |
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| 摘 要： | This article presents a novel method to prove that: let E be an AM-space and if dim E≥3, then there does not exist any odd subtractive isometric mapping from the unit sphere S(E) into S[L(Ω,μ)]. In particular, there does not exist any real linear isometry from E into L(Ω,μ).
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| 关 键 词： | 等角映射 AM空间 三维子空间 奇数减法映射 |
| 收稿时间： | 2005-02-20 |
L (ω,μ) cannot isometrically contain some three-dimensional subspaces of AM-spaces |
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| Guanggui Ding,. L (ω,μ) cannot isometrically contain some three-dimensional subspaces of AM-spaces[J]. Acta Mathematica Scientia, 2007, 27(2): 225-231. DOI: 10.1016/S0252-9602(07)60021-6 |
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| Authors: | Guanggui Ding |
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| Affiliation: | aSchool of Mathematical Sciences, Shren Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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| Abstract: | This article presents a novel method to prove that: let E be an AM-space and if dim E ≥ 3, then there does not exist any odd subtractive isometric mapping from the unit sphere S(E) into S[L(ω,μ)]. In particular, there does not exist any real linear isometry from E into L(ω,μ). |
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| Keywords: | Isometric mapping odd and subtractive mapping AM-space |
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