Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x

Karabash, Illya; Trunk, Carsten GND

We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated. We characterize the local definitizability of this operator in a neighbourhood of 1. Moreover, in this situation, the point 1 is a regular critical point. We construct an operator A = (sgn x)(−d2/dx2 + q) with non-real spectrum accumulating to a real point. The obtained results are applied to several classes of Sturm-Liouville operators.

Zitieren

Zitierform:

Karabash, Illya / Trunk, Carsten: Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x. 2007.

Zugriffsstatistik

Gesamt:
Volltextzugriffe:
Metadatenansicht:
12 Monate:
Volltextzugriffe:
Metadatenansicht:

Grafik öffnen

Rechte

Nutzung und Vervielfältigung:
Alle Rechte vorbehalten

Export