English

Separation ratios of maps between Banach spaces

Functional Analysis 2023-04-10 v1

Abstract

Under the weak assumption on a Banach space EE that EEE\oplus E embeds isomorphically into EE, we provide a characterisation of when a Banach space XX coarsely embeds into EE via a single numerical invariant.

Keywords

Cite

@article{arxiv.2304.03675,
  title  = {Separation ratios of maps between Banach spaces},
  author = {Christian Rosendal},
  journal= {arXiv preprint arXiv:2304.03675},
  year   = {2023}
}
R2 v1 2026-06-28T09:54:32.391Z