On a Class of Analytic Operator Functions and Their Linearizations

DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200209)243:1<92::AID-MANA92>3.0.CO;2-Q" /><92::AID-MANA92>3.0.CO;2-Q 10.1002/1522-2616(200209)243:1<92::AID-MANA92>3.0.CO;2-QzbMath1049.47008OpenAlexW2062156131MaRDI QIDQ3151407

Carsten Trunk, Peter Jonas

Publication date: 16 October 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200209)243:1<92::aid-mana92>3.0.co;2-q

zbMATH Keywords

nonlinear eigenvalue problemdefinitizable operatoroperator matrixKreĭn spacefloating singularityspectral theory of operator functions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on spaces with an indefinite metric (47B50)

Related Items (7)

Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Spectral enclosures for some unbounded \(n\times n\) operator matrices ⋮ On finite rank perturbations of definitizable operators ⋮ Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of operator-valued functions taking values in the set of unbounded operators ⋮ Spectral functions of products of selfadjoint operators ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Spectral enclosures for a class of block operator matrices

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