2004/06/30 by Kenjiro Yanagi, Ken Kuriyama, Shigeru Furuichi
Mathematics · Physics and Astronomy · #math.FA #math-ph #math.MP #msc:47A63 #msc:60E15 #msc:26D15
published as Linear Algebra and its Applications, Volume 394, 1 January 2005, Pages 109-118
arxiv created 2005/04/05 · arxiv updated 2009/12/01
Tsallis 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 \citeFu: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.