通过摩尔-彭罗斯逆计算数值半径和规范界限

Pub Date : 2024-06-21 DOI:10.1007/s11785-024-01560-y
Mohammad Sababheh, Dragan S. Djordjević, Hamid Reza Moradi
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引用次数: 0

摘要

本文提出了具有封闭范围的希尔伯特空间算子的一些内积不等式。所获得的结果被用于获得数值半径和算子规范的新边界,其中摩尔-彭罗斯逆起着重要作用。
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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Numerical Radius and Norm Bounds via the Moore-Penrose Inverse

This paper presents some inner product inequalities for Hilbert space operators having closed ranges. The obtained results are applied to obtain new bounds for the numerical radius and the operator norm, where the Moore-Penrose inverse plays a keen role.

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