Relative entropy and Tsallis entropy of two accretive operators

被引：44
|
作者：
Raissouli, Mustapha [1 ,2 ]
Moslehian, Mohammad Sal [3 ]
Furuichi, Shigeru [4 ]
机构：
[1] Taibah Univ, Fac Sci, Dept Math, POB 30097, Al Madinah Al Munawwarah 41477, Saudi Arabia
[2] Moulay Ismail Univ, Fac Sci, Dept Math, Meknes, Morocco
[3] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159, Mashhad 91775, Iran
[4] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, 3-25-40 Sakurajyousui, Tokyo 1568550, Japan
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 06期
关键词：
HILBERT-SPACE OPERATORS; MEANS INEQUALITIES; MATRICES; PART;
D O I：
10.1016/j.crma.2017.05.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：687 / 693
页数：7
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