Plasticity of the unit ball of $\ell_1$
DOI:
https://doi.org/10.26565/2221-5646-2016-83-01Keywords:
non-expansive map, unit ball, plastic spaceAbstract
In the recent paper by Cascales, Kadets, Orihuela and Wingler it is shown that for every strictly convex Banach space $X$ every non-expansive bijection $F: B_X \to B_X$ is an isometry. We extend this result to the space $\ell_1$, which is not strictly convex.
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