The invertibility of 2X2 operator matrices
Functional Analysis
2016-04-12 v1 Spectral Theory
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.
Cite
@article{arxiv.1604.02682,
title = {The invertibility of 2X2 operator matrices},
author = {Junjie Huang and Junfeng Sun and Alatancang Chen and Carsten Trunk},
journal= {arXiv preprint arXiv:1604.02682},
year = {2016}
}