- Tytuł:
- Eigenvalue estimates for operators with finitely many negative squares
- Autorzy:
-
Behrndt, J.
Mows, R.
Trunk, C. - Powiązania:
- https://bibliotekanauki.pl/articles/255926.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
selfadjoint operator
Krein space
finitely many negative squares
eigenvalue estimate
indefinite Sturm-Liouville operator - Opis:
- Let A and B be selfadjoint operators in a Krein space. Assume that the resolvent difference of A and B is of rank one and that the spectrum of A consists in some interval I ⊂ R of isolated eigenvalues only. In the case that A is an operator with finitely many negative squares we prove sharp estimates on the number of eigenvalues of B in the interval I. The general results are applied to singular indefinite Sturm-Liouville problems.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 6; 717-734
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł