摘要
本文在赋范线性空间中引进了一族角的概念，证明了这样定义的角中任一个满足某种几何性质，空间一定是内积空间。进而考虑相关正交性的概念和获得了内积空间的特征。
In this paper.,a family of concepts of anles are defined linear spaces.It isShown that if angles of the angles satisfies certain geometric properties,the space much be aninner product space. Then,the related notion of orthogonalities is considered and charac-terizations of inner product space are obtained.
出处
《数学杂志》
CSCD
北大核心
1995年第4期477-484,共8页
Journal of Mathematics
关键词
角
正交性
内积空间
赋范空间
Angles,Normed linear spaces,Inner product spaces, Orthogonality.
