Variation of discrete spectra of non-negative operators in Krein spaces

Details Variation of discrete spectra of non-negative operators in Krein spaces Variation of discrete spectra of non-negative operators in Krein spaces

2011-12-09

arxiv.org/abs/1112.2096v1

Mathematics

Spectral Theory

14 pages, 2 figures

Scientific paper

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 the perturbed operator, respectively, whose difference is an $\ell^p$-sequence. This result is a Krein space version of a theorem by T.Kato for bounded selfadjoint operators in Hilbert spaces.

Affiliated with

Also associated with

No associations

Rating

Variation of discrete spectra of non-negative operators in Krein spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Variation of discrete spectra of non-negative operators in Krein spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variation of discrete spectra of non-negative operators in Krein spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43920