English

Normal and starlike tilings in separable Banach spaces

Functional Analysis 2020-08-25 v1

Abstract

In this note, we provide a starlike and normal tiling in any separable Banach space. That means, there are positive constants r and R (not depending on the separable Banach space) such that every tile of this tiling is starlike, contains a ball of radius r and is contained in a ball of radius R.

Keywords

Cite

@article{arxiv.2008.10367,
  title  = {Normal and starlike tilings in separable Banach spaces},
  author = {Robert Deville and Mar Jimenez-Sevilla},
  journal= {arXiv preprint arXiv:2008.10367},
  year   = {2020}
}
R2 v1 2026-06-23T18:03:40.086Z