English

How many miles from $L_\infty$ to $\ell_\infty$?

Functional Analysis 2026-04-16 v3

Abstract

The classical Banach spaces L[0,1]L_\infty[0,1] and \ell_\infty are isomorphic. We present here some lower and upper bounds for their Banach-Mazur distance.

Cite

@article{arxiv.2511.12672,
  title  = {How many miles from $L_\infty$ to $\ell_\infty$?},
  author = {Maciej Korpalski and Grzegorz Plebanek},
  journal= {arXiv preprint arXiv:2511.12672},
  year   = {2026}
}

Comments

12 pages, third version

R2 v1 2026-07-01T07:39:53.683Z