南开大学学报(自然科学版) ›› 2021 ›› Issue (5): 14-.

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拟-β-n-空间上的n-等距(英文)

  

  • 出版日期:2021-10-20 发布日期:2021-11-07

  • Online:2021-10-20 Published:2021-11-07

摘要: n-isometries in quasi-β-n-normed spaces are studied and it's shown that every surjective mapping preserving n-distance one is an affine n-isometry in such spaces. The main tools in this manuscript are the fundamental theorems of affine geometry. Moreover, some statements which are equivalent to
characterizing mappings to be affine n-isometries in quasi-β-n-normed spaces are presented .

关键词: quasi-β-n-normed spaces, n-isometry, collinearity