Canonical Models for Representations of Hardy Algebras

Paul Muhly; Baruch Solel

doi:10.1007/s00020-005-1373-5

Back

Canonical Models for Representations of Hardy Algebras

Journal article

Peer reviewed

Canonical Models for Representations of Hardy Algebras

Paul Muhly and Baruch Solel

Integral equations and operator theory, Vol.53(3), pp.411-452

11/2005

DOI: 10.1007/s00020-005-1373-5

View Online

Abstract

We develop a model theory for completely non coisometric representations of the Hardy algebra of a W*-correspondence defined over a von Neumann algebra. It follows very closely the model theory developed by Sz.-Nagy and Foiaş for studying single contraction operators on Hilbert space and it extends work of Popescu for row contractions.

Primary 47L30

Hardy algebras

noncommutative function theory

Analysis

canonical models

W -correspondences

Mathematics

representations

Secondary 46L89

47L65

47L55

Details

Title: Subtitle: Canonical Models for Representations of Hardy Algebras
Creators: Paul Muhly - Department of Mathematics University of Iowa Iowa City IA 52242 USA
Baruch Solel - Department of Mathematics Technion 32000 Haifa Israel
Resource Type: Journal article
Publication Details: Integral equations and operator theory, Vol.53(3), pp.411-452
Publisher: Birkhäuser-Verlag
DOI: 10.1007/s00020-005-1373-5
ISSN: 0378-620X
eISSN: 1420-8989
Language: English
Date published: 11/2005
Academic Unit: Mathematics; Statistics and Actuarial Science
Record Identifier: 9984083815502771

Metrics

6 Record Views

14 Times Cited - Web of Science