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.
Författare
Mizanur Rahaman
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Wallenberg Centre for Quantum Technology (WACQT)
Lyudmyla Turowska
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Ämneskategorier (SSIF 2025)
Matematisk analys
Algebra och logik
DOI
10.48550/arXiv.2507.02422