A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces

Details A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces

2009-12-10

arxiv.org/abs/0912.2039v1

Mathematics

Functional Analysis

10 pages

Scientific paper

In this article, we study the notions of $n$-isometries in non-Archimedean
$n$-normed spaces over linear ordered non-Archimedean fields, and prove the
Mazur-Ulam theorem in the spaces. Furthermore, we obtain some properties for
$n$-isometries in non-Archimedean $n$-normed spaces.

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