Spectra of a Class of Second Order Operator Matrices

Long Qiao · Journal of Inner Mongolia University · 2014

For general upper triangular operator matrices(A C0B )where A,Band Care fixed,the equivalent conditions of injectiveness,surjectiveness density of their rang are given.Then by extending the results above and using a space decomposition method,the descriptions of spectrum,point spectrum,residual spectrum and continuous spectrum are shown for a class of second order operator matrices(A CDB),when the range of Cis closed.

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