| ε-近似保内积的某个特定值映射 |
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| 引用本文： | 孔亮.ε-近似保内积的某个特定值映射[J].商洛学院学报,2014(6):13-15. |
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| 作者姓名： | 孔亮 |
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| 作者单位： | 商洛学院数学与计算机应用学院 |
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| 基金项目： | 商洛学院科研基金项目(14SKY016) |
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| 摘 要： | 在复Hilbert空间中给出了近似保内积的某个特定值映射的定义,研究了近似保内积的某个特定值线性映射的性质,应用复Hilbert空间中的平行四边形法则证明了非零近似保内积的某个特定值线性映射是有界且下有界的,推广了近似保正交线性映射的定义和结论。
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| 关 键 词： | Hilbert空间 正交 近似正交 特定值映射 |
On Mappings Approximately Preserving a Particular Value of Inner Product |
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| KONG Liang.On Mappings Approximately Preserving a Particular Value of Inner Product[J].Journal of Shangluo University,2014(6):13-15. |
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| Authors: | KONG Liang |
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| Institution: | KONG Liang;College of Mathematics and Computer Application, Shangluo University; |
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| Abstract: | In complex Hilbert spaces, the definition of mapping approximately preserving a particular value of the inner product is given. Then the properties of linear mapping approximately preserving a particular value of the inner product are studied. Finally, it is proved that the nonzero linear mapping approximately preserving a particular value of the inner product is bounded and bounded below by parallelogram law. The result is a generalization of approximate orthogonality preserving linear mappings. |
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| Keywords: | Hilbert space orthogonality approximate orthogonality particular value of the inner product |
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