Nevanlinna-pick Interpolation and Factorization of Linear Functionals

Abstract

If A is a unital weak-∗ closed subalgebra of a multiplier algebra on a reproducing kernel Hilbert space which has property A1(1), then the cyclic invariant subspaces provide an Nevanlinna-Pick (NP) family of kernels. This yields an NP interpolation theorem for a wide class of operator algebras. In particular, it applies to many kernel spaces over the unit… (More)

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