| ε-近似保等腰正交线性映射的刻画 |
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| 引用本文： | 孔亮.ε-近似保等腰正交线性映射的刻画[J].海南大学学报(自然科学版),2013(3):193-198. |
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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科学系,陕西商洛726000 |
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| 基金项目： | 陕西省科技厅科研计划项目（2012JM1018）;陕西省教育厅科研项目（2013JK0570）;商洛学院科研基金项目（09SKY039,12SKY008） |
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| 摘 要： | 在实赋范线性空间中,给出了ε-近似等腰正交的定义和性质,给出了ε-近似保等腰正交映射的定义,证明了非零ε-近似保等腰正交线性映射有界并且是下有界的,最后在映射有界的条件下,得到了非零ε-近似保等腰正交线性映射的刻画.
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| 关 键 词： | 等腰正交 ε-近似等腰正交 ε-近似保等腰正交线性映射 |
Characterization of e-Approximate Isosceles-Orthogonality Preserving Linear Mapping |
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| KONG Liang.Characterization of e-Approximate Isosceles-Orthogonality Preserving Linear Mapping[J].Natural Science Journal of Hainan University,2013(3):193-198. |
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| Authors: | KONG Liang |
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| Institution: | KONG Liang(Department of Mathematics ＆ Computing Science, Shangluo University, Shangluo 726000, China) |
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| Abstract: | In real normed linear space,the definition and some properties of ε-approximate isosceles-orthogonality were given,and the definition of ε-approximate isosceles-orthogonality preserving mapping was proposed.It was proved that the nontrivial ε-approximate isosceles-orthogonality preserving linear mapping is bounded and bounded below.When the mapping is bounded,the characterization of nontrivial ε-approximate isosceles-orthogonality preserving linear mapping is obtained. |
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| Keywords: | isosceles-orthogonality ε-approximate isosceles-orthogonality ε-approximate isosceles-orthogonality preserving linear mapping |
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