A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean n-normed spaces
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🧮 math.FA
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non-archimedeanspacesnormedisometriesmazur-ulamtheoremarticleconservative
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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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