{"id":"openai-math/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1","pdf":"https://github.com/openai/math/blob/main/preprints/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026/manuscript.pdf","url":"https://github.com/openai/math/tree/main/preprints/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1-September-27-2026","tags":["functional-analysis","banach-spaces","daugavet-property"],"score":0,"title":"Exact asymptotic moduli in a Daugavet subspace of L1","domain":"Functional analysis","family":"331","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.FA","summary":"For an infinite-dimensional real subspace of L 1 whose unit ball is totally bounded in measure and whose norm has the Daugavet property, we compute the averaged midpoint and one-sided asymptotic moduli at every unit center. They are $`\\max\\{t/2,t-1\\}`$ and $`\\max\\{0,t-2\\}`$, respectively. The same weak-neighborhood geometry excludes every equivalent asymptotically uniformly convex norm. A quantitative realization of the Kadets–Werner construction supplies a space with both hypotheses.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-27","reactions":{},"formalized":true,"family_title":"Reflexive midpoint convexity and diamond distortion"}