Numerical Radius and Norm Bounds via the Moore-Penrose Inverse

IF 0.7 4区 数学 Q2 MATHEMATICS Complex Analysis and Operator Theory 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

Abstract

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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通过摩尔-彭罗斯逆计算数值半径和规范界限
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。
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来源期刊
CiteScore
1.20
自引率
12.50%
发文量
107
审稿时长
3 months
期刊介绍: Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.
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