Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras
Mathematical Physics
2008-04-17 v1 math.MP
Operator Algebras
Abstract
Recently 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.
Keywords
Cite
@article{arxiv.0804.2648,
title = {Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras},
author = {Paolo Gibilisco and Tommaso Isola},
journal= {arXiv preprint arXiv:0804.2648},
year = {2008}
}