Schur multiplier norms for Loewner matrices
Functional Analysis
2014-10-24 v1
Abstract
We study upper bounds on the Schur multiplier norm of Loewner matrices for concave and convex functions. These bounds then immediately lead to upper bounds on the ratio of Schatten -norms of commutators . We also consider operator monotone functions, for which sharper bounds are obtained.
Cite
@article{arxiv.1303.7365,
title = {Schur multiplier norms for Loewner matrices},
author = {Koenraad M. R. Audenaert},
journal= {arXiv preprint arXiv:1303.7365},
year = {2014}
}
Comments
13 pages