On the negative squares of a class of self‐adjoint extensions in Krein spaces

DOI10.1002/mana.201000154zbMath1275.47084OpenAlexW2070503519MaRDI QIDQ4911522

Carsten Trunk, Annemarie Luger, Jussi Behrndt

Publication date: 15 March 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://www.db-thueringen.de/receive/dbt_mods_00017238

zbMATH Keywords

Krein spaceself-adjoint operatorWeyl functionsymmetric operatordefinitizable functionnegative squaresgeneralized Nevanlinna functionboundary tripletKrein's formula

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Linear operators on spaces with an indefinite metric (47B50) Blaschke products (30J10)

Related Items

Locally Definitizable Operators: The Local Structure of the Spectrum, Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior, Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions, Analytic characterizations of Jordan chains by pole cancellation functions of higher order, On some extensions of the A-model, The A-model with mutually equal model parameters can lead to a Hilbert space model

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