scientific article

zbMath0891.47013MaRDI QIDQ3129855

Hassi, Seppo, Michael Kaltenbäck, Hendrik S. V. de Snoo

Publication date: 20 July 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

defect numbersFriedrichs extensionNevanlinna functions\(Q\)-functionselfadjoint extensionssemibounded operatorclosed symmetric operatornonexceptional selfadjoint extensionrank one perturbations of a fixed operator extensiontripled of Hilbert spaces

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Singular Sturm-Liouville problems whose coefficients depend rationally on the eigenvalue param\-eter ⋮ On rank one perturbations of selfadjoint operators ⋮ Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator ⋮ Sturm--Liouville operators and their spectral functions ⋮ Products of generalized Nevanlinna functions with symmetric rational functions ⋮ A characterization of semibounded selfadjoint operators ⋮ On matrix‐valued Herglotz‐Nevanlinna functions with an emphasis on particular subclasses ⋮ Subordinate solutions and spectral measures of canonical systems ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations ⋮ Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations ⋮ Boundary-value problems for two-dimensional canonical systems ⋮ Interpolation theory in sectorial Stieltjes classes and explicit system solutions ⋮ Nevanlinna Functions, Perturbation Formulas, and Triplets of Hilbert Spaces

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