The invertibility of 2X2 operator matrices

Published 10 Apr 2016 in math.FA and math.SP | (1604.02682v1)

Abstract: In this paper the properties of right invertible row operators, i.e., of 1X2 surjective operator matrices are studied. This investigation is based on a specific space decomposition. Using this decomposition, we characterize the invertibility of a 2X2 operator matrix. As an application, the invertibility of Hamiltonian operator matrices is investigated.

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