Canonical Models for Representations of Hardy Algebras

Details Canonical Models for Representations of Hardy Algebras Canonical Models for Representations of Hardy Algebras

2004-04-18

arxiv.org/abs/math/0404315v1

Mathematics

Operator Algebras

Scientific paper

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 $H^{\infty}$ algebra, free semigroup algebras, quiver algebras and other classes of algebras studied in the literature.

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