Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 326. The cotype–cotype conjecture under the approximation property

Family claims › Functional analysis · lines 2127–2132

OpenAI@2026-10-07#rem:oai-326

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Resolves the cotype–cotype conjecture for real Banach spaces with the approximation property. Such a nonzero space is -convex if and only if both it and its dual have finite Rademacher cotype, with possibly different exponents. Equivalently, these cotype assumptions force nontrivial Rademacher type.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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