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arXiv · 0710.0107

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

Mohammad Sal Moslehian·Ghadir Sadeghi
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Abstract

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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Mohammad Sal Moslehian, Ghadir Sadeghi. 2007-09-30. A Mazur--Ulam theorem in non-Archimedean normed spaces. https://doi.org/10.1016/j.na.2007.09.023

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