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关于近似R-正交的注记 被引量：1

Notes on Approximate R-orthogonality
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摘要 在复赋范线性空间,利用范数导数的定义和性质,并运用算子论方法,证明了近似R-正交是近似ρ-正交,给出了弱近似R-正交的定义,并证明了在一定条件下,近似ρ-正交是弱近似R-正交。 In a complex normed linear space, it is proved that approximate R-orthogonality isapproximate ρ-orthogonality by the definition and properties of norm derivative and the methods ofoperator theory. Next the definition of weak approximate R-orthogonality is given. It is proved thatapproximate ρ-orthogonality is weak approximate R-orthogonality under certain condition.
作者 孔亮 王念良
机构地区 商洛学院数学与计算机应用学院
出处 《商洛学院学报》 2016年第4期3-5,共3页 Journal of Shangluo University
基金 陕西省自然科学基础研究计划项目(2016JM1034) 陕西省教育厅专项科研计划项目(16JK1238)
关键词 R-正交 近似R-正交 弱近似R-正交 近似正交 R-orthogonality , approximate R-orthogonality weak approximate R-orthogonality approximate ρ-orthogonality
分类号 O177.1 [理学—基础数学]
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参考文献14

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二级参考文献24

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商洛学院学报
2016年 第4期

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