$q$-numerical radius of rank-one operators and the generalized Buzano inequality

Dušan Denčić, Hranislav Stanković, Mihailo Krstić +1

Here, we study the $q$-numerical radius of rank-one operators on a Hilbert space $\mathcal{H}$. More precisely, for $q\in [0,1]$ and $a,b\in \mathcal{H}$, we establish the formu…