摘要
对赋范线性空间的有关正交性问题进行了初步研究,并且给出了Birkhoff正交,Robert正交,James正交的定义,等腰正交,勾股正交的定义以及讨论了赋范线性空间满足某种正交性与内积空间的重要关系,给出内积空间的某些重要的特征性质.
In this paper,the properties of normed linear spaces ‘orthogonalities are studied. In here,the definition of Birkhoff orthogonality, and Robert orthogonality, James orthogonality, and Isosceles orthogonality,Pythagorean orthogonality are given,and then some important relationships between properties of normed linear spaces＇ orthogonalities and characterizations of inner product spaces are investigted,some important characterizations of inner product spaces are also given.
出处
《哈尔滨师范大学自然科学学报》
CAS
2016年第1期28-30,共3页
Natural Science Journal of Harbin Normal University
基金
黑龙江省教育厅科学技术研究项目(12531553)
