Work

A Counterexample to Talagrand's Operator Cotype Problem

Year: 2026
Type: preprint
Abstract: Talagrand asked whether the Rademacher cotype of an operator is universally controlled by the maximum of its Gaussian cotype and its $(q,1)$-summing norm. We give a negative answer already for $q=2$. The counterexample was discovered by ChatGPT (GPT-5.6).
Author: Wu, Xinglong
Language: English
Open Access status: green
OpenAlex ID: W7213602369
Cites: 7
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Related to: 10