Weighted numerical radii of accretive matrices
In this paper, we consider the notion of the weighted numerical radius, denoted by $ ω_ν(A)$, for the class of accretive matrices, where \\ $ ν\in [0, 1].$ This notion generalizes both the classical numerical radius and the operator norm. All of the obtained inequalities reduce to the corresponding classical inequalities when $ ν=1/2 $ or when the matrix is positive definite.
math.FA↗