Plasticity of the unit ball of $\ell_1$
Abstract
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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References
Cascales B., Kadets V., Orihuela J., Wingler E.J. Plasticity of the unit ball of a strictly convex Banach space, to appear
in: Revista de la Real Academia de Ciencias Exactas, F\'{\i}sicas y Naturales. Serie A. Matem\'aticas
http://dx.doi.org/10.1007/s13398-015-0261-3}{DOI: 10.1007/s13398-015-0261-3
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Copyright (c) 2016 Visnyk of V.N.Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics
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