数学杂志Issue(2)：287-293,7.
凸体间几种仿射不变距离的等价性与估计
THE EQUIVALENCE AND ESTIMATE OF SEVERAL AFFINE INVARIANT DISTANCES BETWEEN CONVEX BODIES
摘要
Abstract
In this paper, the equivalences of several different definitions of two types of Banach-Mazur distance between convex bodies are shown respectively, the conditions under which these two types of Banach-Mazur distance coincide are discussed, and the Banach-Mazur distances between polar bodies of special convex bodies are studied as well. The results obtained here will play some role in estimating the best upper bound of Banach-Mazur distances.关键词
仿射不变距离/凸体/Banach-Mazur距离/极体Key words
affne invariant distance/convex body/Banach-Mazur distance/polar set分类
数理科学引用本文复制引用
邵永冲,国起..凸体间几种仿射不变距离的等价性与估计[J].数学杂志,2015,(2):287-293,7.基金项目
Supported partially by National Natural Science Foundation of China (11271282) （11271282）
partially by the GIF of Jiangsu (CXLX110960) （CXLX110960）
