Congruence of matrix spaces, matrix tuples, and multilinear maps

Genrich R. Belitskii, Vyacheslav Futorny, Mikhail Muzychuk +1

Two matrix vector spaces $V,W\subset {\mathbb{C}}^{n\times n}$ are said to be equivalent if $SVR=W$ for some nonsingular $S$ and $R$. These spaces are congruent if $R=S^T$. We prove t…