数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (3): 359-364.
马玉梅
MA Yu-Mei
摘要:
In this paper, one of the Aleksandrov problem was resolved, the proof thata
mapping f which preserve unit distance between two real p-normed spacesX and Y is an
isometry if Y is a p-strictly convex space and f satisfies locally Lipschitz condition was
shown, and a same result in normedspaces was given. In addition, a proof which there
doesn’t exist any isometry between some spaces was obtained.
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