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
收藏
页码：1155 / 1171
页数：17
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