DOCUMENTA MATHEMATICA, Vol. 13 (2008), 553-584

Eric A. Carlen and Elliott H. Lieb

Brascamp-Lieb Inequalities for Non-Commutative Integration

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

2000 Mathematics Subject Classification: 47C15, 15A45, 26D15

Keywords and Phrases: inequalities, traces, non-commutative integration

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