A Mazur–ulam Theorem in Non-archimedean Normed Spaces

@inproceedings{Moslehian2007AMT,
  title={A Mazur–ulam Theorem in Non-archimedean Normed Spaces},
  author={Mohammad Sal Moslehian and Ghadir Sadeghi},
  year={2007}
}
The classical Mazur–Ulam theorem which states that every sur-jective 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.