Jensen's inequlaity for partial traces in von Neumann algebras
Preprint, 2025
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.
Author
Mizanur Rahaman
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Wallenberg Centre for Quantum Technology (WACQT)
Lyudmyla Turowska
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Subject Categories (SSIF 2025)
Mathematical Analysis
Algebra and Logic
DOI
10.48550/arXiv.2507.02422