John's Theorem for an Arbitrary Pair of Convex Bodies

被引：0

作者：

A. Giannopoulos

I. Perissinaki

A. Tsolomitis

机构：

[1] University of Crete,Department of Mathematics

[2] University of Crete,Department of Mathematics

[3] University of the Aegean,Department of Mathematics

来源：

Geometriae Dedicata | 2001年 / 84卷

关键词：

John's theorem; Banach–Mazur distance; volume ratio;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We provide a generalization of John's representation of the identity for the maximal volume position of L inside K, where K and L are arbitrary smooth convex bodies in ℝn. From this representation we obtain Banach–Mazur distance and volume ratio estimates.

引用

页码：63 / 79

页数：16

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