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A Mazur--Ulam theorem in non-Archimedean normed spaces

Mohammad Sal Moslehian and Ghadir Sadeghi
Arxiv ID: 0710.0107Last updated: 7/23/2021
The classical Mazur--Ulam theorem which states that every surjective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we establish a Mazur--Ulam theorem in the non-Archimedean strictly convex normed spaces.

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