逆向算子Heinz均值不等式  

Reverse Heinz Mean Inequalities for Operators

作　　者：宋园[1] SONG Yuan(Chuzhou Vacational and Technical College,Chuzhou 239000,Anhui China)

机构地区：[1]滁州职业技术学院

出　　处：《吉首大学学报（自然科学版）》2019年第3期14-16,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：安徽省教育厅高校自然科学基金项目(KJ2018A0839);滁州职业技术学院院级质量工程项目(ZLGC2016059,ZLGC2016013)

摘　　要：利用逆向算子Young不等式得到了逆向算子Heinz均值不等式,再利用范数法证明了逆向算子Heinz均值不等式是可以平方的,进一步证明了逆向算子Heinz均值不等式的高次幂是成立的.Reverse Heinz mean inequalities for operators are obtained via reverse Young inequalities for operators.Furthermore,by means of the norm method,it is proved that the reverse Heinz mean inequalities for operators are square.Finally,the higher power of the reverse Heinz mean inequalities for operators is proved.

关 键 词：逆向算子Young不等式 逆向算子Heinz均值不等式 可逆正算子 

分 类 号：O178[理学—数学]