Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform

Abstract

We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.

14 pages

References in corpus (1)

• Numerical radius inequalities and its applications in estimation of zeros of polynomials

Cited by in corpus (4)

• On a new norm on $\mathcal{B}(\mathcal{H})$ and its applications to numerical radius inequalities
• Refined inequalities for the numerical radius of Hilbert space operators
• Estimations of zeros of a polynomial using numerical radius inequalities
• Some improvements of numerical radius inequalities of operators and operator matrices