In this paper, the extremal problem, min{?p（?K）:o∈?K?L,?∈GL（n）}, of two convex bodies K and L in Rn is considered. For K to be in extremal position in terms of a decomposition of the identity, give necessary conditions together with the optimization theorem of John. Besides, we also consider the weaker optimization problem: 12 min{（?p（?K））p:?K?B2n,?K∩Sn-1≠?,?∈GL（n）}. As an application, we give the geometric distance between the unit ball 2 nB and a centrally symmetric convex body K.
类型: 国际会议
作者: Tongyi Ma
来源: Workshop 2 2019 2019-01-05
年度: 2019
分类: 基础科学
专业: 数学
单位: College of Mathematics and Statistics, Hexi University
分类号: O186.5
页码: 46-56
总页数: 11
文件大小: 1449k
下载量: 1
本文来源: https://www.lunwen66.cn/article/43be1a897e9a440b67e66d16.html