A novel numerical radius upper bounds for 2× 2 operator matrices
M Al-Dolat, I Jaradat, B Al-Husban - Linear and Multilinear Algebra, 2022 - Taylor & Francis
M Al-Dolat, I Jaradat, B Al-Husban
Linear and Multilinear Algebra, 2022•Taylor & FrancisIn this paper, we establish some numerical radius inequalities for 2× 2 bounded linear
operator defined on a complex Hilbert space. As a natural application, the existence of the
all polynomial zeros is identified in a specific small disk. Moreover, we provide a refinement
of an earlier numerical radius inequality due to Herzallah et al.[Numerical radius inequalities
for certain 2× 2 operator matrices. Integr Equ Oper Theory. 2011; 71: 129–147] and a
generalization of Shebrawi's inequality [Numerical radius inequalities for certain 2× 2 …
operator defined on a complex Hilbert space. As a natural application, the existence of the
all polynomial zeros is identified in a specific small disk. Moreover, we provide a refinement
of an earlier numerical radius inequality due to Herzallah et al.[Numerical radius inequalities
for certain 2× 2 operator matrices. Integr Equ Oper Theory. 2011; 71: 129–147] and a
generalization of Shebrawi's inequality [Numerical radius inequalities for certain 2× 2 …
Abstract
In this paper, we establish some numerical radius inequalities for bounded linear operator defined on a complex Hilbert space. As a natural application, the existence of the all polynomial zeros is identified in a specific small disk. Moreover, we provide a refinement of an earlier numerical radius inequality due to Herzallah et al. [Numerical radius inequalities for certain operator matrices. Integr Equ Oper Theory. 2011;71:129–147] and a generalization of Shebrawi's inequality [Numerical radius inequalities for certain operator matrices II. Linear Algebra Appl. 2017;523:1–12].
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