A CHAIN OF NUMERICAL RADIUS INEQUALITIES IN COMPLEX HILBERT SPACE

被引：1

作者：

Al-Dolat, Mohammed ^{[1
]}

Dagher, Ayat ^{[1
]}

Alquran, Marwan ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 03期

关键词：

Numerical radius; spectral radius; operator matrix;

D O I：

10.7153/jmi-2021-15-77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we implement the improvement of numerical radius inequalities that were produced by Alomari MW. [Refinements of some numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra. 2019 Jun 4:1-6] and devise a new upper bound for 2x2 operator matrices on complex Hilbert space with many examples which show that our bound is sharper than the existing bounds proved by Bani-Domi W, Kittaneh F. [Norm and numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra. 2020 Jul 28:1-2], Al-Dolat M, Jaradat I, Al-Husban B. A novel numerical radius upper bounds for 2x 2 operator matrices. Linear andMultilinear Algebra. 2020 Apr 23:1-2], Shebrawi K. [Numerical radius inequalities for certain 2x2 operator matrices II. Linear Algebra and its Applications. 2017 Jun 15; 523:1-2] and Hirzallah O, Kittaneh F, Shebrawi K. [Numerical radius inequalities for 2x2 operator matrices. Studia Mathematica. 2012; 210:99-115].

引用

页码：1155 / 1171

页数：17

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