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The Kadets--Werner modification of Bourgain--Rosenthal space is asymptotically midpoint uniformly convex

Baudier, Florent P.
arXiv (All) · Papers
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functional-analysis
Let $X_{\mathsf{KW}}$ be the Kadets--Werner modification of a closed subspace of $L_1$ constructed by Bourgain and Rosenthal in 1980. In this short note, it is shown that $X_{\mathsf{KW}}$ is asymptotically midpoint uniformly convex. Since $X_{\mathsf{KW}}$ has the Daugavet Property, it fails the Po
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