Spectral shift via “lateral” perturbation

We consider a compact perturbation H0 D S C K0 *K0 of a self-adjoint operator S with an eigenvalue λı below its essential spectrum and the corresponding eigenfunction f . The perturbation is assumed to be “along” the eigenfunction f, namely K0f D 0. The eigenvalue λı belongs to the spectra of both H...

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Bibliographic Details
Main Authors: Berkolaiko, G. (Author), Kuchment, P. (Author)
Format: Article
Language:English
Published: European Mathematical Society Publishing House 2022
Subjects:
Online Access:View Fulltext in Publisher