摘要
本文根据不同重数张量空间之间的关系,采用对张量空间分划的方法,得到了张量空间中张量达到最小长度的一个充分条件和一个必要条件.此外,本文还讨论了最小长度的上界K_(max),得到了如下估计:对n维向量空间上的m阶张量空间,n~[m/2]≤K_(max)≤n^(m-1)。
From the relations between tensor spaces of different orders, we obtain a sufficient condition and a necessary condition for the smallest length of the tensor by parti-tioning the tensor space moreover. Bounds for the smllest length of the tensor are given as:n~[M/2]≤K^(max)≤n^(m-1).
