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一般赋(2,p)-范空间上的Mazur-Ulam定理的一个注记

A note on Mazur-Ulam theorem on general(2,p)-normed space
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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.
出处 《天津理工大学学报》 2011年第2期73-75,共3页 Journal of Tianjin University of Technology
基金 天津市高等学校科技发展基金(20060402)
关键词 赋(2 p)-范空间 保内部映射 Mazur—Ulam定理 (2 ,p) -normed space interior preserving mapping Mazur-Ulam theorem
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参考文献8

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