Title : ( A Mazur–Ulam theorem in non-Archimedean normed spaces )
Authors: Mohammad Sal Moslehian , Ghadir Sadeghi ,
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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
, Isometry; Mazur–Ulam theorem; p, adic numbers; Non, Archimedean field; Non, Archimedean normed space; Spherically complete
@article{paperid:1006978,
author = {Sal Moslehian, Mohammad and Sadeghi, Ghadir},
title = {A Mazur–Ulam theorem in non-Archimedean normed spaces},
journal = {Nonlinear Analysis: Theory, Methods & Applications},
year = {2008},
volume = {69},
number = {10},
month = {July},
issn = {0362-546X},
pages = {3405--3408},
numpages = {3},
keywords = {Isometry; Mazur–Ulam theorem; p-adic numbers; Non-Archimedean field; Non-Archimedean normed space; Spherically complete},
}
%0 Journal Article
%T A Mazur–Ulam theorem in non-Archimedean normed spaces
%A Sal Moslehian, Mohammad
%A Sadeghi, Ghadir
%J Nonlinear Analysis: Theory, Methods & Applications
%@ 0362-546X
%D 2008
