Invertible Completion for a Class of Four Block Operator Matrices
Zhang Hui-fan · Acta Analysis Functionalis Applicata · 2015
Based on the closedness of range of the top right entry and the dimension perturbation of some family of spaces,a new necessary and sufficient condition is obtained for the partial block operator matrix(A C ? B) to have an invertible completion.It is shown that this kind of completion problems can be reduced to the case of upper triangular operator matrices.