English

A note on the Blum-Hanson property of some contractions on $\mathrm{L}^p$-spaces

Functional Analysis 2022-03-24 v3

Abstract

If Ω\Omega is a measure space, we show that absolute contractions which are selfadjoint on L2(Ω)\mathrm{L}^2(\Omega) induce contractions on Lp(Ω)\mathrm{L}^p(\Omega) which satisfy the Blum-Hanson property. Our very short argument relies on the use of noncommutative Lp\mathrm{L}^p-spaces.

Keywords

Cite

@article{arxiv.2110.06276,
  title  = {A note on the Blum-Hanson property of some contractions on $\mathrm{L}^p$-spaces},
  author = {Cédric Arhancet},
  journal= {arXiv preprint arXiv:2110.06276},
  year   = {2022}
}

Comments

use a not proved result in some paper