Some operator monotone functions

dc.creatorHansen, Frank
dc.date2008-03-17
dc.date2008-10-14
dc.date.accessioned2026-07-07T12:38:29Z
dc.date.available2026-07-07T12:38:29Z
dc.descriptionWe prove that the functions t -> (t^q-1)(t^p-1)^{-1} are operator monotone in the positive half-axis for 0 < p < q < 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.
dc.descriptionAn author has quit and some material added
dc.identifierhttps://arxiv.org/abs/0803.2364
dc.identifierhttp://arxiv.org/abs/0803.2364
dc.identifierLinear Algebra Appl. 430 (2009), 795-799.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218777
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.titleSome operator monotone functions
dc.typetext

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