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Conjecture 3 of the Dynamical Sampling Survey

Analysis · posed by Akram Aldroubi, Carlos Cabrelli, Ilya Krishtal, Ursula Molter, 2026 · disproved

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Statement

Aldroubi, Cabrelli, Krishtal and Molter conjectured that for a bounded normal operator TT and any vector gg, the normalized orbit {Tkg/∥Tkg∥:k≥0}\{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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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    Ilya A. Krishtal and Gotz E. Pfander, using ChatGPT

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    The paper states the constructions were achieved using ChatGPT, whose assistance was also used in preparing the manuscript. One of the authors is among those who posed the conjecture.

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Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.