arXiv:0804.2648 · Infinite Dimensional Analysis Quantum Probability and Related Topics

UNCERTAINTY PRINCIPLE FOR WIGNER–YANASE–DYSON INFORMATION IN SEMIFINITE VON NEUMANN ALGEBRAS

Paolo Gibilisco, Tommaso Isola

Published Mar 1, 2008• 3 citations

Abstract

In Ref. 9, Kosaki proved an uncertainty principle for matrices, related to Wigner–Yanase–Dyson information, and asked if a similar inequality could be proved in the von Neumann algebra setting. In this paper we prove such an uncertainty principle in the semifinite case.

DOI: 10.1142/s0219025708003026

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