ε-近似保平方等腰正交映射的刻画与扰动  

Characterization and perturbations of ε-approximate square isosceles-orthogonality preserving mappings

作　　者：孔亮[1] 曹怀信[2] 

机构地区：[1]商洛学院应用数学研究所,陕西商洛726000 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《山东大学学报（理学版）》2015年第6期75-82,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11371012)

摘　　要：在实赋范线性空间中,给出了ε-近似保平方等腰正交映射的定义,得到了ε-近似保平方等腰正交线性映射的一些充分条件,在映射有界的条件下,给出了ε-近似保平方等腰正交线性映射的刻画,最后得到了ε-近似保平方等腰正交线性映射的扰动定理。Firstly, In real normed linear spaces, the definition of e-approximate square isosceles-orthogonality preser- ving mapping is given. Some sufficient conditions for a linear mapping to be an ε--approximate square isosceles-orthogo- nality preserving mapping are given. Secondly, when the mapping is bounded, the characterization of ε--approximate square isosceles-orthogonality preserving linear mapping is obtained. Finally, the perturbations of ε--approximate square isosceles-orthogonality preserving linear mapping are given.

关 键 词：等腰正交 δ-近似等距 ε-近似平方等腰正交 ε-近似保平方等腰正交映射 

分 类 号：O177.1[理学—数学]