Inversion of perturbed linear operators that are singular at the origin
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2003
Authors
Howlett, P.G.
Ejov, V.
Avrachenkov, K.
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Conference paper
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IEEE Conference on Decision and Control, 2003, vol.6, pp.5628-5631
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42nd IEEE Conference on Decision and Control (9 Dec 2003 - 12 Dec 2003 : Maui, Hawaii)
Abstract
We consider the inversion of perturbed linear operators on Hilbert space. Namely, we study linear operators that depend on a small parameter and are singular when the parameter is equal to zero. First we consider the af£ne dependence on the parameter. We treat subsequently the cases of bounded operators with closed range, bounded operators with non closed range, and densely defined and closed unbounded operators. Then, we extend the results to the cases of polynomial and analytic perturbations.
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Copyright IEEE 2003