南开大学学报(自然科学版) ›› 2022 ›› Issue (2): 80-.

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非阿基米德n-赋范空间的等距(英文)

  

  • 出版日期:2022-04-20 发布日期:2022-05-23

  • Online:2022-04-20 Published:2022-05-23

摘要: The Mazur-Ulam theorem and the Aleksandrov problem are considered on non-Archimedeann-normed spaces. It's proved that any surjective n-isometry between non-Archimedean n-normed spaces is affine; and a one-n-distance preserving mapping is an n-isometry if and only if it has zero-ndistance
preserving property.

关键词: Mazur-Ulam theorem, Aleksandrov problem, non-Archimedean n-norm space, n-isometry