| 实赋范线性空间上的广义近似保等腰正交映射 |
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| 引用本文： | 孔亮. 实赋范线性空间上的广义近似保等腰正交映射[J]. 河南科学, 2014, 0(12): 2434-2439 |
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| 作者姓名： | 孔亮 |
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| 作者单位： | 商洛学院应用数学研究所,陕西商洛,726000 |
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| 基金项目： | 陕西省科技厅科研项目(2012JM1018);陕西省教育厅科研项目(2013JK0570);商洛学院科研项目(14SKY016) |
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| 摘 要： | 在实赋范线性空间中,给出了广义近似等腰正交和广义近似保等腰正交映射的定义,得到了广义近似保等腰正交线性映射的一些充分条件,证明了非零广义近似保等腰正交线性映射有界并且是下有界的,推广了近似保等腰正交线性映射的定义和结论.
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| 关 键 词： | 等腰正交 近似等距 近似等腰正交 广义近似保等腰正交映射 |
Generalized Approximate Isosceles-orthogonality Preserving Mappings in Real Normed Linear Spaces |
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| Kong Liang. Generalized Approximate Isosceles-orthogonality Preserving Mappings in Real Normed Linear Spaces[J]. Henan Science, 2014, 0(12): 2434-2439 |
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| Authors: | Kong Liang |
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| Affiliation: | Kong Liang (Institute of Applied Mathematics, Shangluo University, Shangluo 726000, Shaanxi China) |
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| Abstract: | In real normed linear spaces,the definition of generalized approximate isosceles-orthogonality preservingmapping is given. Some sufficient conditions for a linear mapping to be a generalized approximate isosceles-orthogonalitypreserving mapping are given. Then it is proved that the nonzero generalized approximate isosceles-orthogonalitypreserving mapping is bounded and bounded below,which is a generalization of approximate isosceles-orthogonalitypreserving linear mapping. |
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| Keywords: | isosceles-orthogonality approximate isometry generalized approximate isosceles-orthogonality generalized approximate isosceles-orthogonality preserving mapping |
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