Improved Inequalities for Numerical Radius via Cartesian Decomposition

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI:10.1134/S0016266323010021

P. Bhunia, S. Jana, M. S. Moslehian, K. Paul

引用次数: 0

Abstract

We derive various lower bounds for the numerical radius \(w(A)\) of a bounded linear operator \(A\) defined on a complex Hilbert space, which improve the existing inequality \(w^2(A)\geq \frac{1}{4}\|A^*A+AA^*\|\). In particular, for \(r\geq 1\), we show that

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利用笛卡尔分解改进的数值半径不等式

我们导出了复Hilbert空间上定义的有界线性算子\(A\)的数值半径\(w(A)\)的各种下界，改进了现有不等式\(w^2(A)\geq \frac{1}{4}\|A^*A+AA^*\|\)。特别地，对于\(r\geq 1\)，我们展示了

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.