On the perturbation series for eigenvalues and eigenprojections

Wahl M (2019)
arXiv:1910.08460.

Preprint | Englisch
 
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Autor*in
Wahl, MartinUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
A standard perturbation result states that perturbed eigenvalues and eigenprojections admit a perturbation series provided that the operator norm of the perturbation is smaller than a constant times the corresponding eigenvalue isolation distance. In this paper, we show that the same holds true under a weighted condition, where the perturbation is symmetrically normalized by the square-root of the reduced resolvent. This weighted condition originates in random perturbations where it leads to significant improvements.
Erscheinungsjahr
2019
Zeitschriftentitel
arXiv:1910.08460
Page URI
https://pub.uni-bielefeld.de/record/2969769

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Wahl M. On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460. 2019.
Wahl, M. (2019). On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460
Wahl, Martin. 2019. “On the perturbation series for eigenvalues and eigenprojections”. arXiv:1910.08460.
Wahl, M. (2019). On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460.
Wahl, M., 2019. On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460.
M. Wahl, “On the perturbation series for eigenvalues and eigenprojections”, arXiv:1910.08460, 2019.
Wahl, M.: On the perturbation series for eigenvalues and eigenprojections. arXiv:1910.08460. (2019).
Wahl, Martin. “On the perturbation series for eigenvalues and eigenprojections”. arXiv:1910.08460 (2019).
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