English

An inequality in noncommutative $L_p$-spaces

Operator Algebras 2016-01-28 v1 Functional Analysis

Abstract

We prove that for any (trace-preserving) conditional expectation E\mathcal E on a noncommutative LpL_p with p>2p>2, IdEId-\mathcal E is a contraction on the positive cone Lp+L_p^+.

Keywords

Cite

@article{arxiv.1601.07456,
  title  = {An inequality in noncommutative $L_p$-spaces},
  author = {Éric Ricard},
  journal= {arXiv preprint arXiv:1601.07456},
  year   = {2016}
}
R2 v1 2026-06-22T12:37:56.213Z