正交及等距反射向量在lp空间的应用  

Application of Orthogonal and Isometric Reflection Vectors in lp Space

作　　者：吴思远 计东海 

机构地区：[1]哈尔滨理工大学理学院,黑龙江 哈尔滨

出　　处：《应用数学进展》2020年第11期1887-1892,共6页Advances in Applied Mathematics

摘　　要：在本文中,我们首先考虑有限维赋范线性空间中的正交基在lp空间与Birkhoff正交的相关联系,其次考虑等距反射向量和L2被加项向量在具体的lp空间中的联系以及当扩展到Hilbert空间中的一些性质变化。In this paper, we first consider the relationship between the orthogonal basis in the finite-dimensional normed linear space and the Birkhoff orthogonality in the lp space, and then consider the relationship between the isometric reflection vector and L2-summand vectors in the specific lp space and some property changes when it is extended to Hilbert space.

关 键 词：Birkhoff正交 等腰正交的超平面 Roberts正交 正交基 线性赋范空间 

分 类 号：G63[文化科学—教育学]