算子的柯西-施瓦茨范数不等式的改进（英文）  

Refinements of Cauchy-Schwarz norm inequality for operators

作　　者：何振涛 刘俊同 王卿文[1] HE Zhentao;LIU Juntong;WANG Qingwen(College of Sciences,Shanghai University,Shanghai 200444,China;School of Mathematics and Statistics,Fuyang Normal University,Anhui Province,Fuyang 236041,China)

机构地区：[1]上海大学理学院,上海200444 [2]阜阳师范学院数学与统计学院,安徽阜阳236041

出　　处：《应用数学与计算数学学报》2018年第3期644-650,共7页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11571220);the Natural Scientific Research Project of Fuyang Normal University(2016FSKJ20)

摘　　要：利用函数f(t)=‖|A^tXB^(1-t)|~r‖·‖|A^(1-t)XB^t|~r‖在区间[0,1]上的凸性对算子的柯西-施瓦茨范数不等式给出了一些改进.We present some refinements of the Cauchy-Schwarz inequality for op-erators by using the convexity of the function f(t)=k|AtXB1?t|rk·k|A1?tXBt|rk on[0,1].

关 键 词：酉不变范数 凸函数 柯西-施瓦茨不等式 

分 类 号：O151.21[理学—数学]