Every 2-dimensional Banach space has the Mazur-Ulam property
published by Taras Banakh
in 2021
and research's language is
English
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Abstract in English
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 Tingleys problem in the class of 2-dimensional Banach spaces.