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
Pages
4
From page
3405
To page
3408
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
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860621
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