On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices-II

TL;DR

This paper develops new bounds for the $\

Contribution

It introduces novel upper and lower bounds for the $\

Findings

New bounds improve existing estimates for $\

Bounds applicable to a wide class of operator matrices

Enhanced understanding of $\

Abstract

The main goal of this article is to establish several new upper and lower bounds for the $\mathbb{A}$-numerical radius of $2\times 2$ operator matrices, where $\mathbb{A}$ be the $2\times 2$ diagonal operator matrix whose diagonal entries are positive bounded operator $A$.