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

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

2007-09-30

arxiv.org/abs/0710.0107v1

Nonlinear Anal. (TMA) 69 (2008), no. 10, 3405-3408.

Mathematics

Functional Analysis

5 pages, to appear in Nonlinear Analysis: Theory, Methods & Applications

Scientific paper

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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