Hermite纯量积的注记

Note on Hermitian Sealer Product

专著〔1〕用反证法证明了:若R不是全迷向的向量空间,则它含有一个非迷向向量。这个证明不是构造性的。本文给出这个命题的构造性证明,从而获得在任意非全迷向向量空间个寻找非迷向向量的构造方法。我们还给出了R中非迷向向量个数的一个下界。

N. Jacobson has proved in his treatise [1] that, if R is not totally isotropic, then it contains a non-isotropic vecter.The argument is not a contructive one. In this note we give a contrctive proof of this proposition, and a bottom bound of the number of non-isotropic. vecters in R.