希尔伯特空间中算子和算子对的不等式

Indian Journal of Pure and Applied Mathematics Pub Date : 2024-09-13 DOI:10.1007/s13226-024-00689-y

Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki, Nicuşor Minculete

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引用次数: 0

摘要

在本文中，我们的目标是为一对定义在复希尔伯特空间上的有界线性算子的欧几里得算子半径建立新的不等式。此外，我们还利用海尔布隆不等式进一步推导出与单个和成对希尔伯特空间算子相关的不等式。

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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Inequalities for operators and operator pairs in Hilbert spaces

In this paper, our goal is to establish novel inequalities for the Euclidean operator radius of a pair of bounded linear operators defined on a complex Hilbert space. Additionally, we use the Heilbronn inequality to derive further inequalities relevant to both single and pairs of Hilbert space operators.

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Indian Journal of Pure and Applied Mathematics

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