The factorization of generalized Nevanlinna functions and the invariant subspace property

DOI10.1016/J.INDAG.2018.08.002OpenAlexW2890881423WikidataQ129299674 ScholiaQ129299674MaRDI QIDQ1629117

Hendrik Luit Wietsma

Publication date: 11 December 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.08.002

zbMATH Keywords

invariant subspacesgeneralized Nevanlinna functions(minimal) realizationsselfadjoint (multi-valued) operators

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Related Items (2)

Spectral Decompositions of Selfadjoint Relations in Pontryagin Spaces and Factorizations of Generalized Nevanlinna Functions ⋮ Generalized Schur functions as multivalent functions

Cites Work

• A factorization of regular generalized Nevanlinna functions
• Generalized Nevanlinna functions and multivalency
• A factorization result for generalized Nevanlinna functions of the class \(N_k\)
• Minimal realizations of generalized Nevanlinna functions
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• A reproducing kernel space model for 𝐍_{𝜅}-functions
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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