analysis / Frame theory

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.

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analysisJun 18, 2026Significance 8/100Registry: unreviewed

Conjecture 3 of the Dynamical Sampling Survey

Prior state unknowndisproved

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.

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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.

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