An alternative estimate for the numerical radius of Hilbert space operators

Year, pages: 2020, 233 - 237

We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that \begin{equation*} ω([\begin{array}{cc} 0 & R S & 0 \end{array}])=((\Vert R \Vert +\Vert S\Vert) / (2)) \end{equation*} where $R, S \in \mathbb{B}(\mathcal{H})$.

Hosseini, M., Moosavi, B., Moradi, H. 2020. An alternative estimate for the numerical radius of Hilbert space operators. In Mathematica Slovaca, vol. 70, no.1, pp. 233-237. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0346

Hosseini, M., Moosavi, B., Moradi, H. (2020). An alternative estimate for the numerical radius of Hilbert space operators. Mathematica Slovaca, 70(1), 233-237. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0346

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava