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一个关于多个算子的保序不等式(英文)
引用本文:杨长森,左红亮,王亚青.一个关于多个算子的保序不等式(英文)[J].数学杂志,2011,31(5):833-839.
作者姓名:杨长森  左红亮  王亚青
作者单位:河南师范大学数学与信息科学学院,河南新乡,453007
基金项目:Supported by Science Foundation of Ministry of Education of China(208081); Technology and Pioneering Project in Henan Province (102300410012)
摘    要:本文研究了Furuta型算子不等式问题.利用Lwner-Heinz不等式和Uchiyama不等式,把关于两个算子的保序不等式推广为多个算子的情形,从而推广了Furuta的结果.

关 键 词:Furuta不等式  广义Furuta不等式  保序算子不等式  正算子

AN ORDER PRESERVING INEQUALITY FOR SEVERAL OPERATORS
YANG Chang-sen,ZUO Hong-liang,WANG Ya-qing.AN ORDER PRESERVING INEQUALITY FOR SEVERAL OPERATORS[J].Journal of Mathematics,2011,31(5):833-839.
Authors:YANG Chang-sen  ZUO Hong-liang  WANG Ya-qing
Institution:YANG Chang-sen,ZUO Hong-liang,WANG Ya-qing (College of Math.and Information Science,Henan Normal University,Xinxiang 453007,China)
Abstract:In this article,we study the problem of Furuta-type operator inequality.By using the L(o)wner-Heinz inequality and an Uchiyama inequality,we extend an order preserving operator inequality from two operators to several operators,which is a generalization of Furuta,s result.
Keywords:Furuta inequality  generalized Furuta inequality  order preserving operator inequality  positive operator
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