Some reverse and numerical radius inequalities
Abstract In this paper, we present several numerical radius inequalities for Hilbert space operators. More precisely, we prove if $ T,U\in\mathbb{B}\left(\mathcal{H}\right) $ such that U is unitary, then $$\displaystyle\omega(TU\pm U^{*}T)\leq 2\sqrt{\omega(T^{2})+\|T\pm T^{*}\|^{2}}. $$ Also, we have compared our results with some known outcomes.
2019 ◽
Vol 41
(2)
◽
pp. 127-133
2014 ◽
Vol 72
(2)
◽
pp. 521-527
◽
2016 ◽
Vol 94
(3)
◽
pp. 489-496
◽
2011 ◽
Vol 32
(7)
◽
pp. 739-749
◽