Conjecture 3 of the Dynamical Sampling Survey
Aldroubi, Cabrelli, Krishtal and Molter conjectured that for a bounded normal operator $T$ and any vector $g$, the normalized orbit $\{T^k g / \|T^k g\| : k \ge 0\}$ is never a frame. It can be: an explicit construction produces a normalized orbit that is a frame.