The point spectrum and residual spectrum of upper triangular operator matrices


Xiufeng Wu, Junjie Huang, Alatancang Chen




The point and residual spectra of an operator are, respectively, split into 1,2-point spectrum and 1,2-residual spectrum, based on the denseness and closedness of its range. Let H, K be infinite dimensional complex separable Hilbert spaces and write M X = A X 0 B