Abstract
We study the variation of the discrete spectrum of a bounded non-negative operator in a Krein space under a non-negative Schatten class perturbation of order p. It turns out that there exist so-called extended enumerations of discrete eigenvalues of the unperturbed and perturbed operator, respectively, whose difference is an ℓp-sequence. This result is a Krein space version of a theorem by T. Kato for selfadjoint operators in Hilbert spaces.
Original language | English |
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Pages (from-to) | 157-173 |
Journal | Journal of Operator Theory |
Volume | 71 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2014 |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)