Applications of Arithmetic Geometric Mean Inequality

• 作者: Wasim Audeh
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: COMPACT OPERATOR INEQUALITY POSITIVE OPERATOR SINGULAR Value
• 年，卷（期）: 2017,（2）
• 页码范围: 29-36
• 页数: 8页
• 分类号: O1

摘要

The well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value inequalities for compact operators. The purpose of this study is to give new singular value inequalities for compact operators and prove that these inequalities are equivalent to arithmetic-geometric mean inequality, the way by which several future studies could be done.