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arXiv:2103.09268 [math.FA]AbstractReferencesReviewsResources

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

Taras Banakh

Published 2021-03-16Version 1

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.

Comments: 8 pages
Categories: math.FA, math.MG
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