English

A remark on geodesics in the Banach Mazur distance

Functional Analysis 2022-11-01 v1

Abstract

We show that there are uncountably many geodesics between any two non-isometric nn-dimensional normed spaces. We construct two explicit geodesics that can be used to describe all the points of the other geodesics.

Keywords

Cite

@article{arxiv.2210.16384,
  title  = {A remark on geodesics in the Banach Mazur distance},
  author = {Alvaro Arias and Vladimir Kovalchuk},
  journal= {arXiv preprint arXiv:2210.16384},
  year   = {2022}
}