Title : ( Relative entropy and Tsallis entropy of two accretive operators )
Authors: M. Raissouli , Mohammad Sal Moslehian , Sh. Furuichi ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
Let $A$ and $B$ be two accretive operators. We first introduce the weighted geometric mean of $A$ and $B$ together with some related properties. Afterwards, we define the relative entropy as well as the Tsallis entropy of $A$ and $B$. The present definitions and their related results extend those already introduced in the literature for positive invertible operators.
Keywords
Accretive Operator; Weight Geometric Mean; Relative Entropy; Tsallis Entropy
@article{paperid:1064485,
author = {M. Raissouli and Sal Moslehian, Mohammad and Sh. Furuichi},
title = {Relative entropy and Tsallis entropy of two accretive operators},
journal = {Comptes Rendus Mathematique},
year = {2017},
volume = {355},
number = {6},
month = {May},
issn = {1631-073X},
pages = {687--693},
numpages = {6},
keywords = {Accretive Operator; Weight Geometric Mean; Relative Entropy; Tsallis Entropy},
}
%0 Journal Article
%T Relative entropy and Tsallis entropy of two accretive operators
%A M. Raissouli
%A Sal Moslehian, Mohammad
%A Sh. Furuichi
%J Comptes Rendus Mathematique
%@ 1631-073X
%D 2017
