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arXiv · 1904.12096

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

Santanu bag·Pintu Bhunia·Kallol Paul
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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.

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Santanu bag, Pintu Bhunia, Kallol Paul. 2019-04-27. Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform. https://arxiv.org/abs/1904.12096

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