Generalized Shannon inequalities based on Tsallis relative operator entropy

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dc.creatorYanagi, Kenjiro
dc.creatorKuriyama, Ken
dc.creatorFuruichi, Shigeru
dc.date2004-06-08
dc.date2005-04-05
dc.date.accessioned2026-07-07T05:08:59Z
dc.date.available2026-07-07T05:08:59Z
dc.descriptionTsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by T.Furuta \cite{Fu:par} are extended in terms of the parameter of the Tsallis relative operator entropy. Moreover the generalized Tsallis relative operator entropy is introduced and then several operator inequalities are derived.
dc.identifierhttps://arxiv.org/abs/math/0406137
dc.identifierhttp://arxiv.org/abs/math/0406137
dc.identifierLinear Algebra and its Applications, Volume 394, 1 January 2005, Pages 109-118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71474
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject47A63, 60E15, 26D15
dc.titleGeneralized Shannon inequalities based on Tsallis relative operator entropy
dc.typetext

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