{"id":"openai-math/The-cotype-cotype-conjecture-under-the-approximation-property","pdf":"https://github.com/openai/math/blob/main/preprints/The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-cotype-cotype-conjecture-under-the-approximation-property-September-23-2026","tags":["banach-spaces","functional-analysis","cotype","k-convexity"],"score":0,"title":"The cotype–cotype conjecture under the approximation property","domain":"Functional analysis","family":"326","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.FA","summary":"We prove the cotype–cotype conjecture under the ordinary approximation property. A nonzero real Banach space with this property is K -convex if and only if both the space and its dual have finite Rademacher cotype, possibly with different exponents.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"The cotype–cotype conjecture under the approximation property"}