3 problems

For each integer $n\ge 1$, let $V_1,V_2,V_3$ be $n$-dimensional vector spaces and let $T\in V_1\otimes V_2\otimes V_3$ be concise, meaning that each contraction map…

For every tensor $T$ and every tensor eigenvalue $\lambda$, the algebraic multiplicity dominates the geometric and span multiplicities:…

Let $\mathbb{A}$ be a nonnegative primitive tensor of fixed order $m$ and dimension $n$. Its primitive degree $\gamma(\mathbb{A})$ is the smallest positive integer $r$ such that…