The Generalized Numerical Range with Completely Symmetric Function
Acta Mathematica Sinica, Chinese Series
Numerical Range, Completely symmetric function, Line segment
A necessary and sufficient condition for the m-numerical range Hkm(A) of a matrix A with the completely symmetric function Ck to be a line segment in the complex plane is given in this note.
Zhang, Fuzhen and Lei, Tian-Gang, "The Generalized Numerical Range with Completely Symmetric Function" (1996). Mathematics Faculty Articles. 119.