Weighted Inequalities For The Numerical Radius

被引：25

作者：

Sheybani, Shiva ^{[1
]}

Sababheh, Mohammed ^{[2
]}

Moradi, Hamid Reza ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Razavi Khorasan, Iran

[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

[3] Payame Noor Univ PNU, Dept Math, POB 19395-4697, Tehran, Iran

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2023年 / 51卷 / 02期

关键词：

Bounded linear operators; Numerical radius; Operator norm; Inequality; BOUNDS;

D O I：

10.1007/s10013-021-00533-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize many existing results in the literature; where certain values of the weights imply some known results, or refinements of these results. In the end, we present some numerical examples that show how our results refine the well known results in the literature, related to this topic.

引用

页码：363 / 377

页数：15

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