English

An $L_p$-inequality for anticommutators

Functional Analysis 2020-12-07 v1 Operator Algebras

Abstract

We prove a basic inequality involving anticommutators in noncommutative LpL_p-spaces. We use it to complete our study of the noncommutative Mazur maps from LpL_p to LqL_q showing that they are Lipschitz on balls when 0<q<p<0<q<p<\infty.

Keywords

Cite

@article{arxiv.2012.02566,
  title  = {An $L_p$-inequality for anticommutators},
  author = {Eric Ricard},
  journal= {arXiv preprint arXiv:2012.02566},
  year   = {2020}
}
R2 v1 2026-06-23T20:43:55.649Z