2 problems

Let $A$ be a bounded normal operator on an infinite-dimensional Hilbert space $\mathcal H$, and let $\mathcal G\subset\mathcal H$. Normalized-orbit non-frame conjecture. The system…

Müntz–Szász redundancy conjecture. The system $\\{D^\lambda b: \lambda\in\Lambda\\}$ is a frame for $\ell^2(\mathbb N)$.