Selfadjoint extensions of a singular differential operator
JOURNAL OF MATHEMATICAL CHEMISTRY, vol.50, no.5, pp.1100-1110, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 50 Issue: 5
- Publication Date: 2012
- Doi Number: 10.1007/s10910-011-9953-x
- Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1100-1110
- Open Archive Collection: AVESIS Open Access Collection
- Karadeniz Technical University Affiliated: Yes
Abstract
In this work, firstly in the Hilbert space of vector-functions all selfadjoint extensions of the minimal operator generated by linear singular symmetric differential expression with a selfadjoint operator coefficient A in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.