Article ID Journal Published Year Pages File Type
9498634 Linear Algebra and its Applications 2005 10 Pages PDF
Abstract
Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Apll. 381 (2004) 219] 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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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