实赋范线性空间上的广义近似保等腰正交映射  

Generalized Approximate Isosceles-orthogonality Preserving Mappings in Real Normed Linear Spaces

作　　者：孔亮[1] 

机构地区：[1]商洛学院应用数学研究所,陕西商洛726000

出　　处：《河南科学》2014年第12期2434-2439,共6页Henan Science

基　　金：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)

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.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.

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 

分 类 号：O177.1[理学—数学]