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
DOI: 10.12677/PM.2013.35047, PDF, HTML, 下载: 2,799  浏览: 9,469  国家自然科学基金支持
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。
Abstract: 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. Benz定理和赋2-范空间上的Aleksandrov问题[J]. 理论数学, 2013, 3(5): 305-311. http://dx.doi.org/10.12677/PM.2013.35047

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