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arXiv · 0912.2039

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

Hahng-Yun Chu·Se-Hyun Ku
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Abstract

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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Hahng-Yun Chu, Se-Hyun Ku. 2009-12-10. A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces. https://arxiv.org/abs/0912.2039

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