Brascamp-Lieb Inequalities for Non-Commutative Integration
Eric A. Carlen, Elliott H. Lieb
TL;DR
This paper introduces a non-commutative version of the Brascamp-Lieb inequality, extending classical integral inequalities to non-commutative settings and proving it in specific contexts.
Contribution
It formulates and proves a non-commutative analog of the Brascamp-Lieb inequality in several concrete scenarios.
Findings
Established the non-commutative Brascamp-Lieb inequality in multiple settings
Extended classical inequalities to non-commutative frameworks
Provided proofs for specific non-commutative cases
Abstract
We formulate a non-commutative analog of the Brascamp-Lieb inequality, and prove it in several concrete settings.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods