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Every 2-dimensional Banach space has the Mazur-Ulam property

Published 16 Mar 2021 in math.FA and math.MG | (2103.09268v1)

Abstract: We prove that every isometry between the unit spheres of 2-dimensional Banach spaces extends to a linear isometry of the Banach spaces. This resolves the famous Tingley's problem in the class of 2-dimensional Banach spaces.

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