Inversion of perturbed linear operators that are singular at the origin | IEEE Conference Publication | IEEE Xplore

Inversion of perturbed linear operators that are singular at the origin


Abstract:

We consider the inversion of perturbed linear operators on Hubert space. Namely, we study linear operators that depend on a small parameter and are singular when the para...Show More

Abstract:

We consider the inversion of perturbed linear operators on Hubert 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 affine 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.
Date of Conference: 09-12 December 2003
Date Added to IEEE Xplore: 15 March 2004
Print ISBN:0-7803-7924-1
Print ISSN: 0191-2216
Conference Location: Maui, HI, USA

References

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