English

On zonoids whose polars are zonoids

Metric Geometry 2009-09-25 v1 Functional Analysis

Abstract

Zonoids whose polars are zonoids cannot have proper faces of dimension other than n1n-1 or zero (n3n\geq 3). However, there exist non smooth zonoids whose polars are zonoids. Examples in R3R^3 and R4R^4 are given.

Cite

@article{arxiv.math/9707210,
  title  = {On zonoids whose polars are zonoids},
  author = {Yossi Lonke},
  journal= {arXiv preprint arXiv:math/9707210},
  year   = {2009}
}