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实赋范线性空间中的近似平方R-正交 被引量：1

Approximate square R-orthogonality in real normed linear space
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摘要 在实赋范线性空间中,给出了近似平方R-正交的定义和性质.运用算子论方法,证明了近似平方R-正交是近似B-正交,给出了近似保平方R-正交映射的定义,得到了有界线性映射是近似保平方R-正交映射的一些充分条件. In real normed linear space,the definition and properties of approximate square R-orthogonality are given.Using the operator theory,it is proved that the approximate square Rorthogonality is approximate B-orthogonality,next the definition of approximate square R-orthogonality preserving mapping is given.Finally,some sufficient conditions for a bounded linear mapping to be an approximate square R-orthogonality preserving mapping are abtained.
作者 孔亮
机构地区 商洛学院应用数学研究所
出处 《纺织高校基础科学学报》 CAS 2015年第1期58-61,71,共5页 Basic Sciences Journal of Textile Universities
基金 陕西省科技厅自然科学基础研究计划项目(2012JM1018) 陕西省教育厅科学研究计划项目(2013JK0570) 商洛学院科研项目(14SKY016)
关键词 R-正交 近似平方R-正交 近似保平方R-正交映射 R-orthogonality approximate square R-orthogonality approximate square R-orthogonality preserving mapping
分类号 O177.1 [理学—基础数学]
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参考文献13

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二级参考文献25

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纺织高校基础科学学报
2015年 第1期

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