Journal article
Representations of Hardy Algebras: Absolute Continuity, Intertwiners, and Superharmonic Operators
Integral equations and operator theory, Vol.70(2), pp.151-203
06/2011
DOI: 10.1007/s00020-011-1869-0
Abstract
Suppose
$${\mathcal{T}_{+}(E)}$$
is the tensor algebra of a W*-correspondence E and H
∞(E) is the associated Hardy algebra. We investigate the problem of extending completely contractive representations of
$${\mathcal{T}_{+}(E)}$$
on a Hilbert space to ultra-weakly continuous completely contractive representations of H
∞(E) on the same Hilbert space. Our work extends the classical Sz.-Nagy–Foiaş functional calculus and more recent work by Davidson, Li and Pitts on the representation theory of Popescu’s noncommutative disc algebra.
Details
- Title: Subtitle
- Representations of Hardy Algebras: Absolute Continuity, Intertwiners, and Superharmonic Operators
- Creators
- Paul Muhly - Department of Mathematics University of Iowa Iowa City IA 52242 USABaruch Solel - Department of Mathematics Technion 32000 Haifa Israel
- Resource Type
- Journal article
- Publication Details
- Integral equations and operator theory, Vol.70(2), pp.151-203
- Publisher
- SP Birkhäuser Verlag Basel
- DOI
- 10.1007/s00020-011-1869-0
- ISSN
- 0378-620X
- eISSN
- 1420-8989
- Language
- English
- Date published
- 06/2011
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083237502771
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