Generalization of some unitarily invariant norm inequalities for matrices

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-37

Ahmad Al-Natoor, M. Amleh, Baha' Abughazaleh, Aliaa Burqan

引用次数: 0

Abstract

. In this paper, we prove new unitarily invariant norm inequalities for positive semidefinite matrices. Some of these inequalities represents a generalization of earlier work due to Kittaneh who re ﬁ nes an inequality due to Davidson and Power which is useful in best approximation of C ∗ -algebras.

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矩阵的一些酉不变范数不等式的推广

．本文证明了一类新的正半定矩阵的酉不变范数不等式。这些不等式中的一些代表了Kittaneh早期工作的推广，Kittaneh重新定义了Davidson和Power的一个不等式，该不等式在C * -代数的最佳逼近中很有用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.