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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.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jun 18, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Conjecture 3 of the Dynamical Sampling Survey · Normalized orbit frames

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Ilya A. Krishtal
human · human collaborator

Gotz E. Pfander
human · human collaborator

ChatGPT
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Gotz E. Pfander

This event attributed to Ilya A. Krishtal

This event attributed to ChatGPT

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Conjecture 3 of the Dynamical Sampling Survey — Mathematical Frontier Network