Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform
Functional Analysis
2024-08-13 v3
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 -Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.
Keywords
Cite
@article{arxiv.1904.12096,
title = {Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform},
author = {Santanu bag and Pintu Bhunia and Kallol Paul},
journal= {arXiv preprint arXiv:1904.12096},
year = {2024}
}
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14 pages