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Some reverse and numerical radius inequalities

In: Mathematica Slovaca, vol. 68, no. 5
Mohsen Shah Hosseini - Mohsen Erfanian Omidvar
Detaily:
Rok, strany: 2018, 1121 - 1128
Kľúčové slová:
numerical radius, operator norm, norm inequality
O článku:
In this paper, we present several numerical radius inequalities for Hilbert space operators. More precisely, we prove if $T, U \in \mathbb{B}(\mathcal{H})$ such that $U$ is unitary, then \begin{align*} ω(TU \pm U*T) ≤ 2 \sqrt{ω(T2) + \Vert T \pm T* \Vert2}. \end{align*} Also, we have compared our results with some known outcomes.
Ako citovať:
ISO 690:
Hosseini, M., Omidvar, M. 2018. Some reverse and numerical radius inequalities. In Mathematica Slovaca, vol. 68, no.5, pp. 1121-1128. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0174

APA:
Hosseini, M., Omidvar, M. (2018). Some reverse and numerical radius inequalities. Mathematica Slovaca, 68(5), 1121-1128. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0174
O vydaní:
Publikované: 31. 10. 2018