$$\mathbb {A}$$ -Berezin Number Inequalities for $$2\times 2$$ Operator Matrices

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-28 DOI:10.1007/s40840-024-01712-5

Ali Zamani, Satyajit Sahoo, Ramiz Tapdigoglu, Mubariz Garaev

引用次数: 0

Abstract

Let $\mathbb {A}$ be the $2\times 2$ diagonal operator matrix determined by a positive Hilbert space operator A. We give several upper bounds for the $\mathbb {A}$-Berezin number of $2\times 2$ block matrices on a reproducing kernel Hilbert space and prove inequalities for the A-Berezin number of Hilbert space operators. Our results in this paper generalize and refine earlier the A-Berezin number inequalities.

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$$\mathbb {A}$$ -$2\times 2$$ 运算矩阵的贝雷津数不等式

让 $\mathbb {A}$ 是由正希尔伯特空间算子 A 确定的对角算子矩阵。我们给出了再现核希尔伯特空间上 $2\times 2$ 块矩阵的 $\mathbb {A}$-Berezin 数的几个上界，并证明了希尔伯特空间算子的 A-Berezin 数不等式。本文的结果概括并完善了之前的 A-Berezin 数不等式。

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

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.

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