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Exact asymptotic moduli in a Daugavet subspace of L1

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OpenAI Mathopenai-math/Exact-asymptotic-moduli-in-a-Daugavet-subspace-of-L1Sep 27, 2026math.FAAI-generatedscore 0

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.

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