Document Type
Article
Department/Program
Mathematics
Journal Title
Proceedings of the American Mathematical Society
Pub Date
2011
Volume
139
Issue
2
First Page
609
Abstract
A general interpolation problem with operator argument is studied for functions f from the de Branges-Rovnyak space H(K(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.
Recommended Citation
Ball, Joseph A.; Bolotnikov, Vladimir; and Ter Horst, Sanne, Interpolation in DE Branges-Rovnyak Spaces (2011). Proceedings of the American Mathematical Society, 139(2), 609-618.
10.1090/S0002-9939-2010-10505-1
DOI
10.1090/S0002-9939-2010-10505-1
