Geodesic
Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class C0
Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 132-151

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DOI

We obtain results on the unitary equivalence of weak contractions of class ${{C}_{0}}$ to their Jordan models under an assumption on their commutants. In particular, our work addresses the case of arbitrary finite multiplicity. The main tool in this paper is the theory of boundary representations due to Arveson. We also generalize and improve previously known results concerning unitary equivalence and similarity to Jordan models when the minimal function is a Blaschke product.
DOI : 10.4153/CJM-2013-044-0
Mots-clés : 47A45, 47L55, weak contractions, operators of class C0, Jordan model, unitary equivalence 
Clouâtre, Raphaël. Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class C0. Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 132-151. doi: 10.4153/CJM-2013-044-0
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