一些蕴含Furuta不等式的算子单调函数的算子不等式（英文）  

SOME OPERATOR INEQUALITIES OF MONOTONE FUNCTIONS CONTAINING FURUTA INEQUALITY

作　　者：杨长森[1] 杨朝军[1] YANG Chang-sen;YANG Chao-jun(College of Mathematics and Information Science, Henan Normal University,Xinxiang 453007, China)

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《数学杂志》2017年第4期698-704,共7页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11271112;11201127);Technology and the Innovation Team in Henan Province(14IRTSTHN023)

摘　　要：本文研究了算子不等式与算子单调函数之间的联系.利用关于算子单调函数的乘积引理,乘积定理等基本控制原理,给出许多算子不等式,这些不等式可包含正算子理论中应有十分广泛的Furuta不等式.In this paper,we study the relations between the operator inequalities and the operator monotone functions.By using the fundamental conclusions based on majorization,namely,product lemma and product theorem for operator monotone functions,we can give some operator inequalities.This result contains the Furuta inequality,which has a huge impact on positive operator theory.

关 键 词：算子单调函数 积引理 积定理 控制 

分 类 号：O177.1[理学—数学]