On the Loewner problem in the class $\mathbf {N}_{\kappa }$

DOI10.1090/S0002-9939-01-06345-6zbMath0987.30014WikidataQ124629976 ScholiaQ124629976MaRDI QIDQ2782637

Heinz K. Langer, Daniel Alpay, Aalt Dijksma

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

indefinite inner productmoment problemsoperator valued functionsLoewner problem

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem

Cites Work

• On spectral properties of regular quasidefinite pencils F-\(\lambda\) G
• Operatortheoretische Behandlung und Verallgemeinerung eines Problemkreises in der komplexen Funktionentheorie
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Some extensions of Loewner's theory of monotone operator functions.
• Über monotone Matrixfunktionen
• A factorization result for generalized Nevanlinna functions of the class \(N_k\)
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• Loewner’s theorem for kernels having a finite number of negative squares
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• Monotone and Convex Operator Functions
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