P_λ性质和内积空间的特征  

Property P_λ and characterizations of inner product spaces

作　　者：刘庚[1] 计东海[1] 

机构地区：[1]哈尔滨理工大学数学系,哈尔滨150080

出　　处：《哈尔滨商业大学学报（自然科学版）》2008年第2期244-246,共3页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金(10671048)

摘　　要：从一个新的角度去研究内积空间的特征性质.对Pλ性质的某些相关理论作了改进,结合Minkowski几何,Pλ性质与内积空间关系以及等腰正交元的唯一性等重要理论,利用反证法得到了一些内积空间新的特征性质.同时,还举出例子对所得结论作了补充.In this paper, characterizations of inner product spaces are researched in a different light. Improvement is made on some related theories about property Pλ. Based on the Minkowski geometry, the relationship between property Pλ and inner product spaces and uniqueness of isosceles orthogonality, make use of reduction to absurdity to show some new characterizations of inner product spaces, meanwhile, an example to make the supplement to the obtained conclusion is given.

关 键 词：Pλ性质 等腰正交 内积空间 

分 类 号：O177[理学—数学]