Abstract
The duality approach of Sarason, Abrahamse, Ball, and others is extended to obtain a verion of Nevanlinna–Pick interpolation for a weak star closed algebra of operators on Hilbert space. In this context factorization is the polar decomposition of a positive trace class operator. Several concrete Nevanlinna–Pick type theorems are seen to follow from the main result and various versions of the Wold decomposition.
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