From quasi-entropy to skew information

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dc.creatorPetz, Denes
dc.creatorSzabo, V. E. Sandor
dc.date2007-12-18
dc.date.accessioned2026-07-07T08:50:02Z
dc.date.available2026-07-07T08:50:02Z
dc.descriptionThis paper gives an overview about particular quasi-entropies, generalized quantum covariances, quantum Fisher informations, skew-informations and their relations. The point is the dependence on operator monotone functions. It is proven that a skew-information is the Hessian of a quasi-entropy. The skew-information and some inequalities are extended to a von Neumann algebra setting.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0712.2881
dc.identifierhttp://arxiv.org/abs/0712.2881
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144482
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subjectStatistics Theory
dc.subject15A63, 47N50, 46L60, 94A17
dc.titleFrom quasi-entropy to skew information
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