内积空间中Gram矩阵的半正定性

Half Positive Definitiveness of Gram's Matrix in Inner-product Space

首先将Euclid空间与酉空间中基的Gram矩阵概念作了推广 ,得到内积空间中向量组的Gram矩阵 ,讨论了Gram矩阵的半正定性 ,最后给出内积空间中关于Gram行列式的不等式 .

Gram,s matrix concept based on Euclid space and Unitary space is extended ,thus vector group Gram,s matrix in inner-product space comes about.After discussing the half positive definitiveness of Gram,s matrix,an inequality on Gram,s determinant in inner-Product space is given.