A Mazur–Ulam theorem in non-Archimedean normed spaces

By Mohammad Sal Moslehian, G. Sadeghi. 2007

71 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5d8688aaec4a9e9150eafa9704129c1f1cf3fdb1