Numerical radii of weighted shift operators using determinantal polynomials
Bikshan Chakraborty, Sarita Ojha, Riddhick Birbonshi · Operators and Matrices · 2022
In this paper, we introduce the expression of the determinantal polynomials for the weighted shift operators with weights (w 1 ,... ,w 2n-1 ,b,a,b,a,b,...) and (w 1 ,... ,w 2n ,a,b,a,b,...) and using these we can find the numerical radii of the above operators. The purpose of this paper is to generalize the results of [14] and [4].