摘要
We show that any mapping between two real p-normed spaces, which preserves the unit distance and the midpoint of segments with distance 2(p), is an isometry. Making use of it, we provide an alternative proof of some known results on the Aleksandrov question in normed spaces and also generalise these known results to p-normed spaces.
- 出版日期2017-4
- 单位天津理工大学