Numerical radii of operator matrices in terms of certain complex combinations of operators

IF 0.8 4区数学 Q2 MATHEMATICS Georgian Mathematical Journal Pub Date : 2024-01-01 DOI:10.1515/gmj-2023-2112

Cristian Conde, Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh

引用次数: 0

Abstract

Operator matrices have played a significant role in the study of properties of the numerical radii of Hilbert space operators. This paper presents several new sharp upper bounds for the numerical radii of operator matrices in terms of certain complex combinations. The obtained results reveal many interesting properties of the numerical radius.

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算子矩阵的数值半径与算子的某些复数组合有关

算子矩阵在希尔伯特空间算子数值半径性质的研究中发挥了重要作用。本文以某些复数组合为基础，提出了算子矩阵数值半径的几个新的尖锐上界。所得结果揭示了数值半径的许多有趣性质。

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

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.

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