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Interpolation in DE Branges-Rovnyak Spaces
Ball, Joseph A. Bolotnikov, Vladimir Ter Horst, Sanne
Ball, Joseph A.
Bolotnikov, Vladimir
Ter Horst, Sanne
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.
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2011-01-01
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Mathematics
DOI
10.1090/S0002-9939-2010-10505-1