NEVANLINNA-PICK TYPE INTERPOLATION IN A DUAL ALGEBRA

摘要

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 Weld decomposition. (C) 1996 Academic Press, Inc. [References: 11]