| 一个等距于其Hamel基的可分赋范空间 |
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| 作者姓名： | IleanaDiamandescu AdrianDuma |
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| 作者单位： | 克拉约瓦大学数学系,克拉约瓦200585 |
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| 摘 要： | 在(CB)空间中构造出了一个线性子空间,它与其Hamel基是(非线性)等距同构的.
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| 关 键 词： | Vanach空间 Hamel基 非线性等距算子 Banach space Hamel base nonlinear isometry 可分 赋范空间 Base Isometric Normed Space nonlinear subspace Banach space null real sequences isometry algebraic base 等距同构 非线性 线性子空间 构造 |
| 文章编号： | 0465-7942（2007）04-0110-03 |
| 修稿时间： | 2005-08-30 |
A Separable Normed Space that is Isometric to a Hamel Base of Itself |
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| IleanaDiamandescu AdrianDuma.A Separable Normed Space that is Isometric to a Hamel Base of Itself[J].Acta Scientiarum Naturalium University Nankaiensis,2007,40(4):110-112. |
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| Authors: | Ileana Diamandescu Adrian Duma |
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| Institution: | Department of Mathematics, University of Craiova, Craiova 200585, Romania;Department of Mathematics, University of Craiova, Craiova 200585, Romania |
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| Abstract: | It is shown that there is a linear subspace of the Banach space of all null real sequences that admits a nonlinear isometry onto some algebraic base of itself. |
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| Keywords: | Banach space Hamel base nonlinear isometry |
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