紧算子奇异值不等式的若干新结果  

SOME NEW RESULTS OF SINGULAR VALUE INEQUALITY FOR COMPACT OPERATORS

作　　者：邓勇 DENG Yong(College of Mathematics and Statistics,Kashi University,Kashi 844006,China)

机构地区：[1]喀什大学数学与统计学院,喀什844006

出　　处：《内蒙古农业大学学报（自然科学版）》2020年第6期84-88,共5页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：广西混杂计算重点实验室开放基金项目(HCIC201504)。

摘　　要：紧算子奇异值著名的算术-几何均值不等式是其最重要的结果之一.为丰富紧算子的奇异值不等式,给出了紧算子奇异值的若干新不等式,并证明了它们等价于算术-几何均值不等式.The famous singular value arithmetic-geometric mean inequality is one of the most important inequalities of the compact operators.In order to enrich the results of singular value inequalities,several new singular value inequalities of singular value inequalities for compact operators were given,it was proved that those inequalities were equivalent to the arithmetic-geometric mean inequalities.

关 键 词：紧算子 奇异值 均值不等式 双边理想 正算子 

分 类 号：O151.21[理学—数学]