Existence of product vectors and their partial conjugates in a pair of spaces

Young-Hoon Kiem, Seung-Hyeok Kye, Jungseob Lee

Let $D$ and $E$ be subspaces of the tensor product of the $m$ and $n$ dimensional complex spaces, with codimensions $k$ and \ell$,respectively.Weshowthatif$k+\ell<m+n-2$ then…