Advancement of numerical radius inequalities of operator and product of operators

2023/03/31 by Nayak, Raj Kumar
#47A12 #47A30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2303.18152

Abstract

In this article, we proved upper bounds for numerical radius of bounded linear operator and product of operators which generalize and improve existing inequalities. We also obtain a numerical radius inequality of invertible operator using Kantorovich's ratio.

Related

• Some improvements of numerical radius inequalities of operators and operator matrices
• Refinements of Some Numerical radius inequalities for Hilbert Space\n Operators
• On Some Numerical Radius Inequalities for Hilbert Space Operators
• Numerical radius inequalities concerning with algebraic norms
• New upper bounds for the q-numerical radius of Hilbert space operators