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A Counterexample to Talagrand's Operator Cotype Problem

Xinglong Wu

Source record

Source: arXiv

Published: Sep 17, 2026

arXiv: 2609.19731

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Source abstract

Talagrand asked whether the Rademacher cotype of an operator is universally controlled by the maximum of its Gaussian cotype and its (q,1)(q,1)-summing norm. We give a negative answer already for q=2q=2. The counterexample was discovered by ChatGPT (GPT-5.6).

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