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arXiv · 1107.1023

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

Young-Hoon Kiem·Seung-Hyeok Kye·Jungseob Lee
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Abstract

Let $D$ and $E$ be subspaces of the tensor product of the $m$ and $n$ dimensional complex spaces, with codimensions $k$ and \ell$, respectively. We show that if $k+\ell m+n-2$ then there may not exist such a product vector. If $k+\ell=m+n-2$ then both cases may occur depending on $k$ and $\ell$.

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Young-Hoon Kiem, Seung-Hyeok Kye, Jungseob Lee. 2011-11-22. Existence of product vectors and their partial conjugates in a pair of spaces. https://doi.org/10.1063/1.3663835

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