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

Santanu Bag, Pintu Bhunia, Kallol Paul · arXiv (Cornell University) · 2019

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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