IMPROVED BELLMAN AND ACZEL INEQUALITIES FOR OPERATORS

被引：2
|
作者：
Hashemi, Fereshteh [1 ]
Farokhinia, Ali [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Shiraz Branch, Shiraz, Iran
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 07期
关键词：
Operator inequality; Bellman inequality; Aczel inequality; positive linear map; operator mean;
D O I：
10.1216/RMJ-2019-49-7-2175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive several more accurate operator Bellman and Aczel inequalities. Among other inequalities, it is shown that if Phi : B(H) -> B(H) is a unital positive linear map, A, B is an element of B(H) are two contraction operators, and we take 0 <= lambda, v <= 1 and p > 1, then Phi((I - A)(1-p)del(lambda) (I - B)(1/p)) <= (Phi(I - A del B-lambda))(1/p), which nicely improves the operator Bellman inequality.
引用
收藏
页码：2175 / 2183
页数：9
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