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Bounds of numerical radius of bounded linear operators using t–Aluthge transform

Author : Dr Pintu Bhunia

Year : 2020

Publisher : Element D.O.O.

Source Title : Mathematical Inequalities and Applications

Document Type :

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.