算子和与积的贝雷津数不等式及其应用

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-07-19 DOI:10.1134/s1995080224600602

Messaoud Guesba, Fuad Kittaneh

引用次数: 0

摘要

摘要我们证明了作用于重现核希尔伯特空间的算子的和与积的一些新的贝雷津数不等式。在我们的不等式的其他应用中，我们提出了贝雷津规范三角不等式的修正。

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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Berezin Number Inequalities for Sums and Products of Operators and Applications

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.

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.