Constant norms and numerical radii of matrix powers
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu · Operators and Matrices · 2019
For an n -byn complex matrix A , we consider conditions on A for which the operator norms A k (resp., numerical radii w(A k ) ), k 1 , of powers of A are constant. Among other results, we show that the existence of a unit vector