The numerical radii of weighted shift matrices and operators
Mao-Ting Chien, Hue-An Sheu · Operators and Matrices · 2013
Let A be an operator on a separable Hilbert space. The numerical range of A is defined as W (A) = { Ax,x : x = 1}. It is known that the numerical range of a weighted shift operator is a circular disk. In this paper, we compute and compare the numerical radii of certain weighted shift matrices and operators.