3 problems

Let $A$ and $B$ be hypermatrices such that … for some norm $\lVert\cdot\rVert$ (or spectral radius), where $\epsilon>0$. Weyl-like perturbation conjecture. There is a bijection…

Let $A$ be a self-adjoint operator whose spectrum is separated into two subsets $4\sigma$ and $\Sigma4$ at distance $d>0$, and let $V$ be an off-diagonal perturbation. Define the m…

Let $A$ be a self-adjoint operator with spectral components $[?]$ and $[?]$ separated by distance $d$, and let $V$ be a perturbation. Denote by $\mathsf{E}_A(\sigma)$ and…