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Berezin Number Inequalities for Sums and Products of Operators and Applications
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2024-07-19 , DOI: 10.1134/s1995080224600602 Messaoud Guesba , Fuad Kittaneh
中文翻译:
算子和应用的和与积的 Berezin 数不等式
更新日期:2024-07-20
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2024-07-19 , DOI: 10.1134/s1995080224600602 Messaoud Guesba , Fuad Kittaneh
Abstract
We prove some new Berezin number inequalities for sums and products of operators acting on a reproducing kernel Hilbert space. Among other applications of our inequalities, we present refinements of the triangle inequality for the Berezin norm.
中文翻译:
![](https://scdn.x-mol.com/jcss/images/paperTranslation.png)
算子和应用的和与积的 Berezin 数不等式
抽象的
我们证明了作用于再生核希尔伯特空间的算子的和与积的一些新的 Berezin 数不等式。在我们的不等式的其他应用中,我们提出了 Berezin 范数的三角不等式的改进。