Generalized Shannon inequalities based on Tsallis relative operator entropy
Functional Analysis
2007-05-23 v2 Mathematical Physics
math.MP
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 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.
Cite
@article{arxiv.math/0406137,
title = {Generalized Shannon inequalities based on Tsallis relative operator entropy},
author = {Kenjiro Yanagi and Ken Kuriyama and Shigeru Furuichi},
journal= {arXiv preprint arXiv:math/0406137},
year = {2007}
}