Canonical Models for Representations of Hardy Algebras

Abstract

In this paper we study canonical models for representations of the Hardy algebras that generalize the model theory of Sz.-Nagy and Foias for contraction operators. The Hardy algebras are non selfadjoint operator algebras associated with W*-correspondences. This class includes the classical H∞ algebra, free semigroup algebras, quiver algebras and other classes of algebras studied in the literature.

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