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arXiv · 1604.02682

The invertibility of 2X2 operator matrices

Junjie Huang·Junfeng Sun·Alatancang Chen·Carsten Trunk
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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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Junjie Huang, Junfeng Sun, Alatancang Chen, Carsten Trunk. 2016-04-10. The invertibility of 2X2 operator matrices. https://arxiv.org/abs/1604.02682

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