Further results on A-numerical radius inequalities

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