On $${\mathbb {A}}$$-numerical radius equalities and inequalities for certain operator matrices

The main goal of this article is to establish several new \({\mathbb {A}}\)-numerical radius equalities for \(n\times n\) circulant, skew imaginary tridiagonal, and anti-tridiagonal operator matrices, where {A}}\) the diagonal matrix whose entries are positive bounded A. Some special cases our results lead earlier works in literature, which shows that more general. Further, some pinching type inequalities block matrices given. equality conditions also We provide a concluding section, may problems area.