一般赋(2,p)-范空间上的Mazur-Ulam定理的一个注记

摘要

本文在赋(2,p)-范空间上引入保内部映射,然后在非严格凸的条件下的一般的赋(2,p)-范空间上证明了Mazur-Ulam定理,使此理论由一般赋2-范空间扩展到一般的赋(2,p)-范空间.%The Mazur-Ulam theorem on strictly convex(2,p)-normed space has already proved[ 1 ], in this article, we fist define the interior preserving mapping on ( 2 ,p ) -normed space, then we prove the Mazur-Ulatm theorem on general ( 2,p )normed space without the condition of strictly convex , this makes the theorem from 2-normed space expand to general(2,p)normed space.