Davis-Wielandt radius inequalities for off-diagonal operator matrices

2022/03/29 by Xiaomei Dong, Deyu Wu
Mathematics · Computer Science · #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Holomorphic and Operator Theory

paper · doi:10.1080/03081087.2022.2056116

Abstract

In this paper, we generalize several inequalities involving powers of the Davis-Wielandt radius for off-diagonal part of 2×2 operator matrices of the form T=(0BC0), where B and C are two bounded linear operators. We also obtain some new upper and lower bounds for the Davis-Wielandt radius of bounded linear operators, which generalize the existing ones.

Citations

• Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators

Related

• On the Davis-Wielandt radius inequalities of Hilbert space operators
• Some Sharp bounds for the generalized Davis-Wielandt radius
• On generalized Davis-Wielandt radius inequalities of semi-Hilbertian\n space operators
• A-Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators
• Some generalizations of numerical radius on off-diagonal part of 2× 2 operator matrices