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arXiv · 2507.02422

Jensen's inequality for partial traces in von Neumann algebras

Mizanur Rahaman·Lyudmila Turowska
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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.

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BibTeXRIS

Mizanur Rahaman, Lyudmila Turowska. 2025-07-03. Jensen's inequality for partial traces in von Neumann algebras. https://arxiv.org/abs/2507.02422

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