Eigenvalue estimates for operators with finitely many negative squares

• Autorzy: Behrndt J. , Mows R. , Trunk C.

Identyfikatory

DOI

10.7494/OpMath.2016.36.6.717

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

selfadjoint operator; Krein space; finitely many negative squares; eigenvalue estimate; indefinite Sturm-Liouville operator

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 6
• Strony: 717--734
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Behrndt J.

• Technische Universitat Graz Institut fur Numerische Mathematik Steyrergasse 30, 8010 Graz, Austria

autor

Mows R.

• Krossener Str. 17, D-10245 Berlin, Germany

autor

Trunk C.

• Technische Universitat Ilmenau Institut fur Mathematik Postfach 100565, D-98684 Ilmenau, Germany

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.