On characterization of Euclidean spaces

作者:

Highlights:

摘要

New properties of convex sets and their inscribed 2n-gons in a two dimensional Euclidean space are presented. As an application, these results solve a question from functional analysis.

论文关键词:Convex sets,Euclidean spaces,Normal polygons,Normed spaces,Regular polygons,Side-medians

论文评审过程:Available online 6 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.112