Abstract
We exploit the so called form-local subordination in the analysis of non-symmetric perturbations of unbounded self-adjoint operators with isolated simple positive eigenvalues. If the appropriate condition relating the sizeof gaps between the unperturbed eigenvalues and the strength of perturbation,measured by the form-local subordination, is satisfied, the root system of the perturbed operator contains a Riesz basis and usual asymptotic formulas for perturbed eigenvalues and eigenvectors hold. The power of the abstract perturbation results is demonstrated particularly on Schrodinger operators with possibly unbounded or singular complex potential perturbations.
Original language | English |
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Number of pages | 29 |
Journal | Journal d'Analyse Mathématique |
Early online date | 09 Oct 2019 |
DOIs | |
Publication status | Early online date - 09 Oct 2019 |
Bibliographical note
arxiv:1608.00224Fingerprint
Dive into the research topics of 'Local form-subordination condition and Riesz basisness of root systems'. Together they form a unique fingerprint.Profiles
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Petr Siegl
- School of Mathematics and Physics - Visiting Scholar
- Mathematical Sciences Research Centre
Person: Academic