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An \(L_p\)-Inequality for Anticommutators

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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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Correspondence to Éric Ricard.

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The author is supported by ANR-19-CE40-0002 and the Indo-French Centre for the Promotion of Advanced Research - CEFIPRA.

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Ricard, É. An \(L_p\)-Inequality for Anticommutators. Integr. Equ. Oper. Theory 93, 7 (2021). https://doi.org/10.1007/s00020-020-02622-4

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  • DOI: https://doi.org/10.1007/s00020-020-02622-4

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