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

Santanu Bag, Pintu Bhunia, Kallol Paul · Mathematical Inequalities & Applications · 2020

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.

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