We introduce the concept of 2-isometry which is suitable to represent the notion of area preserving mappings in linear 2-normed spaces. And then we obtain some results for the Aleksandrov problem in linear 2-normed spaces.
We study the notion of 2-isometry which is suitable to represent the concept of area preserving mapping in linear 2-normed spaces, and then prove the Mazur-Ulam problem in linear 2-normed spaces.
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