English

A non-abelian, non-Sidon, completely bounded $\Lambda(p)$ set

Functional Analysis 2019-10-21 v1

Abstract

The purpose of this note is to construct an example of a discrete non-abelian group GG and a subset EE of GG, not contained in any abelian subgroup, that is a completely bounded Λ(p)\Lambda (p) set for all p<,p<\infty , but is neither a Leinert set nor a weak Sidon set.

Keywords

Cite

@article{arxiv.1910.08377,
  title  = {A non-abelian, non-Sidon, completely bounded $\Lambda(p)$ set},
  author = {Kathryn Hare and Parasar Mohanty},
  journal= {arXiv preprint arXiv:1910.08377},
  year   = {2019}
}
R2 v1 2026-06-23T11:47:45.139Z