Interpolation in de Branges-Rovnyak spaces

• Autores: Joseph A. Ball, Vladimir Bolotnikov, Sanne ter Horst
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 609-618
• Idioma: inglés
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• Resumen

  • A general interpolation problem with operator argument is studied for functions from the de Branges-Rovnyak space associated with an analytic function mapping the open unit disk into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form (with a suitable interpretation of ) for given Hilbert space operator and two vectors from the same space.