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Transfer function realization for C*-correspondence valued Schur-Agler classes
by
Michael Dritschel
Newcastle University
Coauthors: J.A. Ball, T. Bhattacharyya, S. ter Horst, and C.S. Todd
Dritschel and McCullough, using the test function formalism of Jim Agler, have developed an abstract realization theorem for scalar valued functions in Schur Agler classes, along with applications to Agler-Pick interpolation. Muhly and Solel have likewise developed a realization theorem for W*-correspondence valued functions in what abstractly corresponds to the rather special "disk" case, with a single test function. We discuss recent efforts to unify these two realization theorems.
Date received: February 11, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-39.