A Mazur--Ulam theorem in non-Archimedean normed spaces
arXiv:0710.0107 · doi:10.1016/j.na.2007.09.023
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.
arXiv comment5 pages, to appear in Nonlinear Analysis: Theory, Methods & Applications
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