Further results on A-numerical radius inequalities

Let A be a bounded linear positive operator on complex Hilbert space \({\mathcal {H}}.\) Furthermore, let {B}}_A\mathcal {(H)}\) denote the set of all operators {H}}\) whose A-adjoint exists, and \({\mathbb {A}}\) signify diagonal matrix with entries are A. Very recently, several {A}}\)-numerical radius inequalities \(2\times 2\) matrices were established. In this paper, we prove few new for \(n\times n\) matrices. We also provide proof an existing result by relaxing sufficient condition “A is strictly positive”. Our proofs show importance theory Moore–Penrose inverse in field study.