| ε-近似保正交映射的稳定性与扰动 |
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| 引用本文： | 孔亮,曹怀信.ε-近似保正交映射的稳定性与扰动[J].数学学报,2010,53(1):61-66. |
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| 作者姓名： | 孔亮 曹怀信 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 西安 710062 |
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| 基金项目： | 国家自然科学基金资助项目(10571113,10871224) |
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| 摘 要： | 对于Hilbert空间之间的ε-近似保正交线性映射T,给出了 的一个估计,得到了ε-近似保正交线性映射的充分条件,研究了ε-近似保正交线性映射的稳定性,并获得了ε-近似保正交线性映射的扰动定理.
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| 关 键 词： | 保正交映射 ε-近似保正交映射 稳定性 扰动 |
| 收稿时间： | 2008-07-14 |
| 修稿时间： | 2009-04-09 |
ε-Approximate Orthogonality Preserving Mappings |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China |
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| Abstract: | For an ε-approximate orthogonality preserving mapping T, an estimate of is obtained and some sufficient conditons for a linear mapping to be an ε-approximate orthogonality preserving mapping are given. Secondly, the stability of an ε-approximate orthogonality preserving linear mapping is discussed. Lastly, the perturbations of ε-approximate orthogonality preserving linear mappings are studied.
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| Keywords: | orthogonality preserving mapping &epsilon -approximate orthogonality preserving mapping stability perturbation |
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