3 problems

Non-closability conjecture. The sum $\mathcal{L}_{1,\mu}+\mathcal{L}_2$ is not closable.

Let $A$ be a densely defined sectorial operator in a Banach space $X$, and let $T_\alpha$ be the (generalised) Dirichlet-to-Neumann operator associated with the corresponding exten…

Monotonicity conjecture. The imaginary part of each eigenvalue of $A+t\gamma B$ increases monotonically as a function of $t$.