复赋范线性空间上的(I,B)-近似保正交映射  

(I,B)-Approximate Orthogonality Preserving Mappings in Complex Normed Linear Spaces

作　　者：孔亮 KONG Liang(School of Mathematics and Computer Application,Shangluo University,Shangluo 726000,Shaanx)

机构地区：[1]商洛学院数学与计算机应用学院,陕西商洛726000

出　　处：《商洛学院学报》2018年第4期1-3,共3页Journal of Shangluo University

基　　金：陕西省教育厅专项科研计划项目(16JK1238)

摘　　要：在复赋范线性空间中,给出了(I,B)-近似保正交映射的定义,运用算子论方法 ,证明了非零(I,B)-近似保正交线性映射有界并且是下有界的,并证明了在一定条件下,非零(I,B)-近似保正交线性映射是近似保B-正交线性映射。In complex normed linear spaces,the definition of（I,B）-approximate orthogonality preservingmapping is given. Using some methods of operator,it＇s proved that the nonzero （I,B）-approximateorthogonality preserving linear mapping is bounded, and bounded below. Next,it is proved that thenonzero （I,B）-approximate orthogonality preserving linear mapping is an approximate B-orthogonality preserving mapping under certain condition.

关 键 词：正交 近似B-正交 (I B)-近似保正交映射 

分 类 号：O177.1[理学—数学]