Brascamp--Lieb inequalities for non-commutative integration

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Abstract

We formulate a non-commutative analog of the Brascamp-Lieb inequality, and prove it in several concrete settings.

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Eric A. Carlen, Elliott H. Lieb, Brascamp--Lieb inequalities for non-commutative integration. Doc. Math. 13 (2008), pp. 553–584

DOI 10.4171/DM/254