Generalized numerical radius and related inequalities

They proved several properties and introduced some inequalities. We continue with the study of this generalized numerical radius we develop diverse inequalities involving w_N. also particular cases a fixed N(.), for instance p-Schatten norms. In [A generalization radius. Linear Algebra Appl. 569 (2019)], Abu Omar Kittaneh defined new That is, given norm $N(\cdot)$ on $\bh$, space bounded linear operators over Hilbert H, A in B(H) w_N(A)=sup_{\theta\in \R}N(Re(e^{i\theta}A)). $w_N$. when N(.) is p- Schatten p>1.