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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Affiliation: | 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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