THE SPECTRAL COMPLETION OF A CLASS OF OPERATOR PARTIAL MATRICES
Jianlian Cui · 2000
A sufficient and necessary condition is given for the operator partial matrix () to have a completion T = () such that σ(T) Ω with X and Y being compact operators, where Ω is a given open set containing zero in the complex plane with every component being simply connected. This result is also used to discuss the power stabilizability of the discrete time infinite dimensional systems.