数值半径的乘法性质  

The Multiplicative Properties of Numerical Radius

作　　者：刘晶 吴德玉[1] 阿拉坦仓 LIU Jing;WU Deyu;Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010051,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古师范大学数学科学学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2020年第6期569-573,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11561048,11761029)。

摘　　要：研究了Hilbert空间上数值半径的乘法性质,进而得到了三个乘积算子数值半径的不等式,并且利用极分解的方法将有界正常算子数值半径的乘法性质推广到了拟正常算子的情形。The multiplication properties of the numerical radius of bounded linear operators on the Hilbert space are studied.An inequality of the numerical radius of the three product operators is obtained.By applying the polar decomposition method,the multiplication of numerical radius of bounded normal operators is extended to the case of quasinormal operators.

关 键 词：拟正常算子 数值半径 极分解 

分 类 号：O177.1[理学—数学]