An $L_p$-inequality for anticommutators

Eric Ricard

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arXiv · 2012.02566

An $L_p$-inequality for anticommutators

Eric Ricard

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Abstract

We prove a basic inequality involving anticommutators in noncommutative $L_p$-spaces. We use it to complete our study of the noncommutative Mazur maps from $L_p$ to $L_q$ showing that they are Lipschitz on balls when $0<q<p<\infty$.

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Eric Ricard. 2020-12-04. An $L_p$-inequality for anticommutators. https://arxiv.org/abs/2012.02566

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