Abstract
In this article, we establish some upper bounds for numerical radius inequalities, including those of operator matrices and their off-diagonal parts. Among other inequalities, it is shown that if , then and where are bounded linear operators on a Hilbert space , , and , are nonnegative continuous functions on satisfying the relation (). Moreover, we present some inequalities involving the generalized Euclidean operator radius of operators .
Citation
Mojtaba Bakherad. Khalid Shebrawi. "Upper bounds for numerical radius inequalities involving off-diagonal operator matrices." Ann. Funct. Anal. 9 (3) 297 - 309, August 2018. https://doi.org/10.1215/20088752-2017-0029
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