矩阵的一些酉不变范数不等式的推广

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-37

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

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引用次数: 0

摘要

．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。

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Generalization of some unitarily invariant norm inequalities for matrices

. 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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.