Weyl type theorems for a class of operator matrices


Weihong Zhang, Guojun Hai, Alatancang Chen




It is well known that not all operators satisfy Weyl type theorems simultaneously. In this paper, we denote an operator matrix and consider how eight Weyl type theorems hold for it when certain entry operators satisfy Weyl type theorems. Moreover, we characterize its spectral structure. Finally, the relevant conclusions are promoted to infinite dimensional Hamilton operator.