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
Chalmers, Mathematical Sciences, Analysis and Probability Theory
University of Gothenburg
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.
Subject Categories (SSIF 2025)
Mathematical Analysis
Algebra and Logic
DOI
10.1112/blms.70347