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

2014/11/17 by Koenraad M. R. Audenaert, Audenaert, Koenraad M. R.
Decision Sciences · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.1411.4546

openalex publication_date 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an inequality for unitarily invariant norms that interpolates\nbetween the Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz\ninequality.\n

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