Jensen's inequality for partial traces in von Neumann algebras
arXiv:2507.02422
Abstract
Motivated by a recent result on finite-dimensional Hilbert spaces, we prove a Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non-tracial) von Neumann algebras.
Minor changes. Normality in lemma 5 and 6 are removed and a new Remark 2 has been added. To appear in the Bulletin of the London Mathematical Society (2026)