English

Interpolating between the Arithmetic-Geometric Mean and Cauchy-Schwarz matrix norm inequalities

Functional Analysis 2015-01-13 v2

Abstract

We prove an inequality for unitarily invariant norms that interpolates between the Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality.

Keywords

Cite

@article{arxiv.1411.4546,
  title  = {Interpolating between the Arithmetic-Geometric Mean and Cauchy-Schwarz matrix norm inequalities},
  author = {Koenraad M. R. Audenaert},
  journal= {arXiv preprint arXiv:1411.4546},
  year   = {2015}
}

Comments

7 pages; v2: corrected a mistake in the proof of Theorem 2

R2 v1 2026-06-22T07:01:44.192Z