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arXiv · 1004.2700

Impressions of convexity - An illustration for commutator bounds

David Wenzel·Koenraad M. R. Audenaert
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Abstract

We determine the sharpest constant $C_{p,q,r}$ such that for all complex matrices $X$ and $Y$, and for Schatten $p$-, $q$- and $r$-norms the inequality $$ \|XY-YX\|_p\leq C_{p,q,r}\|X\|_q\|Y\|_r $$ is valid. The main theoretical tool in our investigations is complex interpolation theory.

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David Wenzel, Koenraad M. R. Audenaert. 2010-04-15. Impressions of convexity - An illustration for commutator bounds. https://arxiv.org/abs/1004.2700

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