Hilbert空间算子的范数并行性和Davis-Wielandt Berezin数

IF 1.1 3区数学 Q1 MATHEMATICS

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

M. Alomari, M. Hajmohamadi, M. Bakherad

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引用次数: 0

摘要

．本文引入了Davis-Wielandt Berezin数的概念。介绍了Davis-Wielandt Berezin数的上界和下界。讨论了单位算子的范数并行性与Davis-Wielandt Berezin数的等式条件之间的联系。建立了n × n算子矩阵的Davis-Wielandt Berezin数的一些界。

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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Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number

. In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for the Davis-Wielandt Berezin number are also discussed. Some bounds for the Davis-Wielandt Berezin number for n × n operator matrices are established.

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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.