High Order Singular Rank One Perturbations of a Positive Operator

Aad Dijksma, Pavel Kurasov, Yu. G. Shondin

Type: Article

Publication Date: 2005-08-29

Citations: 30

DOI: https://doi.org/10.1007/s00020-005-1357-5

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+	Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces	2016	Jussi Behrndt Leslie Leben Francisco Martínez Pería Roland Möws Carsten Trunk
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+	Spectra of rank-one perturbations of self-adjoint operators	2020	Oles Dobosevych Rostyslav Hryniv
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Works Cited by This (21)

Action	Title	Year	Authors
+	Minimal Realizations of Scalar Generalized Nevanlinna Functions Related to Their Basic Factorization	2004	Aad Dijksma Heinz Langer Annemarie Luger Yu. G. Shondin
+	Self-adjoint Operators with Inner Singularities and Pontryagin Spaces	2000	Aad Dijksma Heinz Langer Yu. G. Shondin Chris Zeinstra
+	Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric	1982	I. S. Iohvidov M. Г. Крейн Heinz Langer
+	A Characterization of Generalized Zeros of Negative Type of Functions of the Class Nκ	1986	Heinz Langer
+	On H_-4-perturbations of self-adjoint operators	2001	Pavel Kurasov Kazuo Watanabe
+	Singular Perturbations of Differential Operators	2000	S. Albeverio Pavel Kurasov
+	Spectral analysis of rank one perturbations and applications	1995	Barry Simon
+	Operator theory and ordinary differential operators	1995	Aad Dijksma Heinz Langer
+	Rank One Perturbations, Approximations, and Selfadjoint Extensions	1997	S. Albeverio Pavel Kurasov
+	$ mathcal{H} $ -n -perturbations of Self-adjoint Operators and Krein's Resolvent Formula	2003	Pavel Kurasov