Some inequalities for the numerical radius for Hilbert C * C^{*} -modules space operators
Abstract We extend some numerical radius inequalities for adjointable operators on Hilbert {C^{*}} -modules. A new refinement of a numerical radius inequality for some Hilbert space operators is given. More precisely, we prove that if {T\in\mathcal{B}(\mathcal{H})} is an invertible operator, then \frac{\|T\|}{2}\leq\frac{\sqrt{\|T\|^{2}+\frac{1}{\|T^{-1}\|^{2}}}}{2}\leq% \omega(T).
2016 ◽
Vol 94
(3)
◽
pp. 489-496
◽
2019 ◽
Vol 41
(2)
◽
pp. 127-133
2014 ◽
Vol 72
(2)
◽
pp. 521-527
◽
2011 ◽
Vol 32
(7)
◽
pp. 739-749
◽