理论数学

Vol.3 No.5 (September 2013)

Benz定理和赋2-范空间上的Aleksandrov问题
The Benz Theorem and the Aleksandrov Problem in 2-Normed Space

 

作者:

张 倩 , 刘玉波 , 宋眉眉 :天津理工大学理学院应用数学系

 

关键词:

Benz定理 等距AOPP 问题The Benz Theorem 2-Isometry AOPP The Aleksandrov Problem

 

摘要:

本文首先介绍了定理在去掉了“是严格凸的和”两个条件仍然成立[1]。其后我们通过改变文献[1]中的空间类型,弱化了定理中的条件,得到在2-范空间和n-范空间结论仍然成立,并且使得文献[1]中定理2.1成为本文定理2.3的推论。

In this paper, we introduce Benz theorem that is established without the condition Y is strictly convex and . Then the main theorem holds mainly by changing the type of space in [1] and weaking the conditions of the theorem in 2-normed space and in n-normed space. And the theorem 2.1 in [1] can be used as the corollary of theorem 2.3 in this paper.

文章引用:

张 倩 , 刘玉波 , 宋眉眉 (2013) Benz定理和赋2-范空间上的Aleksandrov问题。 理论数学, 3, 305-311. doi: 10.12677/PM.2013.35047

 

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