Interpolation in de Branges-Rovnyak spaces
Functional Analysis
2018-04-24 v1
Abstract
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.
Cite
@article{arxiv.1804.08485,
title = {Interpolation in de Branges-Rovnyak spaces},
author = {Joseph A. Ball and Vladimir Bolotnikov and Sanne Ter Horst},
journal= {arXiv preprint arXiv:1804.08485},
year = {2018}
}
Comments
10 pages