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Invertibility of 2 × 2 operator matrices |
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| Authors: | Junjie Huang Junfeng Sun Alatancang Chen Carsten Trunk |
| Abstract: | Properties of right invertible row operators, i.e., of 1 × 2 surjective operator matrices are studied. This investigation is based on a specific space decomposition. Using this decomposition, we characterize the invertibility of a 2 × 2 operator matrix. As an application, the invertibility of Hamiltonian operator matrices is investigated. |
| Keywords: | 2 × 2 operator matrix Hamiltonian operator matrix invertibility row operator 47A05 47A10 |