Vector-valued de Branges spaces built from operator-valued analytic functions provide functional models for CNU contractions, with the Sz.-Nagy-Foias characteristic function coinciding with a projection-valued function on the unit disk.
Aronszajn,Theory of Reproducing Kernels,Trans
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Vector valued de Branges spaces, CNU contractions and functional models
Vector-valued de Branges spaces built from operator-valued analytic functions provide functional models for CNU contractions, with the Sz.-Nagy-Foias characteristic function coinciding with a projection-valued function on the unit disk.