Jensen's inequality for partial traces in von Neumann algebras
Journal article, 2026
Motivated by a recent result on finite-dimensional Hilbert spaces, we prove 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
University of Gothenburg
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Lyudmyla Turowska
University of Gothenburg
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Bulletin of the London Mathematical Society
0024-6093 (ISSN) 1469-2120 (eISSN)
Vol. 58 4 e70347Non-commutative analysis for quantum computing
Swedish Research Council (VR) (2023-04555), 2024-01-01 -- 2027-12-31.
Roots
Basic sciences
Subject Categories (SSIF 2025)
Mathematical Analysis
DOI
10.1112/blms.70347