Brascamp-Lieb Inequalities for Non-Commutative Integration

Abstract

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

arXiv comment27 pages, no figures. This version corrects three typos in formula referencing and journal citation in the bibliography

References in corpus (2)

• Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps
• Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration