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Jensen's inequality for partial traces in von Neumann algebras | Synapse

April 1, 2026Bulletin of the London Mathematical Society0 citationsOpen Access

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Jensen's inequality for partial traces in von Neumann algebras

MRMizanur RahamanChalmers University of Technology LTLyudmila TurowskaChalmers University of Technology

Puntos clave

The aim is to establish Jensen's inequality for partial traces within the context of von Neumann algebras.
Proved Jensen's inequality for partial traces in semifinite von Neumann algebras.
Demonstrated a similar inequality for general non-tracial von Neumann algebras.
Validated Jensen's inequality within the framework of semifinite von Neumann algebras.
Extended the findings to general non-tracial von Neumann algebras, broadening its implications.

Resumen

Abstract 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.

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Cite This Study

Rahaman et al. (Mon,) studied this question.

synapsesocial.com/papers/69ccb6ce16edfba7beb88969 https://doi.org/https://doi.org/10.1112/blms.70347

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