Joseph A. Ball, Vladimir Bolotnikov, Sanne Ter Horst
Published 2018-04-23Version 1
A general interpolation problem with operator argument is studied for functions f from the de Branges-Rovnyak space H(s) associated with an analytic function s mapping the open unit disk D into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form f(A)c = b (with a suitable interpretation of f(A)c) for given Hilbert space operator A and two vectors b; c from the same space.
Comments: 10 pages
Journal: Proceedings of the AMS 139 (2011), 609-618
Abstract interpolation in vector-valued de Branges-Rovnyak spaces
Interpolation in multivariable de Branges-Rovnyak spaces
The Fock space as a de Branges-Rovnyak space
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