摘要
球面上的迷向测度刻画了凸体与其John椭球的关系,并在凸体的极值问题研究中起着核心作用.本文在非典范的欧式内积的结构下对迷向测度进行了新的刻画并给出一个测度是ε-迷向测度的充分必要条件,并用ε-迷向测度来刻画John定理.
The isotropic measure on the unit sphere characterizing the relation of each convex body and its John ellipsoid plays a central role in the study of extremal problems of convex bodies. In this paper, under the structure of no canonical scalar product, we characterize ε-isotropic measure and give a new version of the John theorem by ε-isotropic measures.
作者
李爱军
冯尤然
LI Aijun FENG Youran(School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Chin)
出处
《应用泛函分析学报》
2017年第3期306-310,共5页
Acta Analysis Functionalis Applicata
基金
河南省人才培养联合基金(U1204102)
河南省高等学校重点项目(17A110022)
