Title of article :
A Mazur–Ulam theorem in non-Archimedean normed spaces
Original Research Article
Author/Authors :
Mohammad Sal Moslehian، نويسنده , , Ghadir Sadeghi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
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.
Keywords :
Mazur–Ulam theorem , pp-adic numbers , Non-Archimedean normed space , Non-Archimedean field , Spherically complete , isometry
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications
