算子矩阵的数值半径与算子的某些复数组合有关

Pub Date : 2024-01-01 DOI:10.1515/gmj-2023-2112

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

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引用次数: 0

摘要

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。

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

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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