Vector-valued de Branges spaces built from Fredholm operator pairs model certain CNU contractions, with the Sz.-Nagy–Foiaş characteristic function equaling a projection-valued function on the disc.
de Branges,Hilbert spaces of entire functions, Prentice-Hall, Inc., Englewood Cliffs, N.J
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Boundedness of composition operators on regular de Branges spaces forces the inducing symbol to be affine, with different behavior than on Paley-Wiener spaces.
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Vector valued de Branges spaces, CNU contractions and functional models
Vector-valued de Branges spaces built from Fredholm operator pairs model certain CNU contractions, with the Sz.-Nagy–Foiaş characteristic function equaling a projection-valued function on the disc.
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Composition operators on de Branges spaces of entire functions
Boundedness of composition operators on regular de Branges spaces forces the inducing symbol to be affine, with different behavior than on Paley-Wiener spaces.