Rank one perturbations in a Pontryagin space with one negative square

DOI10.1006/JFAN.2001.3837zbMath1028.47026OpenAlexW2103055410MaRDI QIDQ1604552

Hendrik S. V. de Snoo, Hassi, Seppo, Vladimir A. Derkach

Publication date: 4 July 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3837

zbMATH Keywords

Friedrichs extensioncritical eigenvaluesNevanlinna functionsPontryagin spaceroot subspacesrank one perturbations

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Spaces of bounded analytic functions of one complex variable (30H05) Applications of functional analysis in quantum physics (46N50) Linear operators on spaces with an indefinite metric (47B50)

Related Items (7)

Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ Rank two perturbations of matrices and operators and operator model for \(\mathbf{t}\)-transformation of probability measures ⋮ Eigenvalues of rank one perturbations of unstructured matrices ⋮ Rank one perturbations at infinite coupling in Pontryagin spaces. ⋮ Zeros of nonpositive type of generalized Nevanlinna functions with one negative square ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices ⋮ Global and local behavior of zeros of nonpositive type

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