Norm inequalities related to the Heinz means

被引：0
作者：
Fugen Gao
Xuedi Ma
机构：
[1] Henan Normal University,College of Mathematics and Information Science
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Norm inequalities; Contractive maps; Unitarily invariant norm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let (I,|||⋅|||)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(I,|\!|\!|\cdot|\!|\!|)$\end{document} be a two-sided ideal of operators equipped with a unitarily invariant norm |||⋅|||\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$|\!|\!| \cdot|\!|\!|$\end{document}. We generalize the results of Kapil’s, using a new contractive map in I to obtain a norm inequality. And we give a new inequality, which is a comparison between the Heinz means and other related inequalities; moreover, we will obtain some correlative conclusions.
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