算子乘积和和的进一步半范数和数值半径不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-14 DOI:10.1080/01630563.2023.2221897

C. Conde, Kais Feki, F. Kittaneh

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引用次数: 0

摘要

本文的目的是建立复希尔伯特空间上算子的乘积和的几个新的范数和数值半径不等式。所得到的一些不等式是对已知不等式的改进。此外，利用新技术证明了与和有关的若干新不等式，其中和分别表示作用于半希尔伯特空间的算子T的a数值半径和a算子半模。这里是每一个。

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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Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators

Abstract Our aim in this article is to establish several new norm and numerical radius inequalities for products and sums of operators acting on a complex Hilbert space . Some of the obtained inequalities improve well known ones. In addition, by using new techniques, we prove certain new inequalities related to and , where and denote the A-numerical radius and the A-operator seminorm of an operator T acting on the semi-Hilbert space respectively. Here for every .

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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.