An inequality related to uncertainty principle in von Neumann algebras

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dc.creatorGibilisco, Paolo
dc.creatorIsola, Tommaso
dc.date2008-04-16
dc.date.accessioned2026-07-07T09:32:58Z
dc.date.available2026-07-07T09:32:58Z
dc.descriptionRecently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty principle. Independently, the same result was proved by Yanagi, Furuichi and Kuriyama. The new bound is given in terms of Wigner-Yanase-Dyson informations. Kosaki himself asked if this inequality can be proved in the setting of von Neumann algebras. In this paper we provide a positive answer to that question and moreover we show how the inequality can be generalized to an arbitrary operator monotone function.
dc.descriptionaccepted for publication in International Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/0804.2651
dc.identifierhttp://arxiv.org/abs/0804.2651
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158972
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject62B10, 94A17 (Primary); 46L30, 46L60 (Secondary)
dc.titleAn inequality related to uncertainty principle in von Neumann algebras
dc.typetext

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